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Finding the Fourth Proportional to 2,089.87, 3,133.42 and 993.67

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Solution

The fourth proportional to 2,089.87, 3,133.42 and 993.67 is: 1,489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.87 : 3,133.42 = 993.67 : x
  2. Step 2: Convert to fraction form
    2,089.87/3,133.42 = 993.67/x
  3. Step 3: Cross multiply
    2,089.87x = 3,133.42 × 993.67
  4. Step 4: Simplify right side
    2,089.87x = 3,113,575.13
  5. Step 5: Solve for x
    x = 3,113,575.13/2,089.87
  6. Step 6: Final answer
    x = 1,489.84

Related Problems

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Half scale
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Double scale
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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.