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Finding the Fourth Proportional to 2,831.10, 4,245.84 and 982.14

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Solution

The fourth proportional to 2,831.10, 4,245.84 and 982.14 is: 1,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.10 : 4,245.84 = 982.14 : x
  2. Step 2: Convert to fraction form
    2,831.10/4,245.84 = 982.14/x
  3. Step 3: Cross multiply
    2,831.10x = 4,245.84 × 982.14
  4. Step 4: Simplify right side
    2,831.10x = 4,170,009.30
  5. Step 5: Solve for x
    x = 4,170,009.30/2,831.10
  6. Step 6: Final answer
    x = 1,472.93

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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.