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Finding the Fourth Proportional to 3,430.21, 5,145.33 and 833.15

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Solution

The fourth proportional to 3,430.21, 5,145.33 and 833.15 is: 1,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.21 : 5,145.33 = 833.15 : x
  2. Step 2: Convert to fraction form
    3,430.21/5,145.33 = 833.15/x
  3. Step 3: Cross multiply
    3,430.21x = 5,145.33 × 833.15
  4. Step 4: Simplify right side
    3,430.21x = 4,286,831.69
  5. Step 5: Solve for x
    x = 4,286,831.69/3,430.21
  6. Step 6: Final answer
    x = 1,249.73

Related Problems

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Half scale
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Double scale
Find fourth proportional to 3,431.21, 5,146.83 and 834.15
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.