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Finding the Fourth Proportional to 5,892.81, 8,132.15 and 3,240.20

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Solution

The fourth proportional to 5,892.81, 8,132.15 and 3,240.20 is: 4,471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.81 : 8,132.15 = 3,240.20 : x
  2. Step 2: Convert to fraction form
    5,892.81/8,132.15 = 3,240.20/x
  3. Step 3: Cross multiply
    5,892.81x = 8,132.15 × 3,240.20
  4. Step 4: Simplify right side
    5,892.81x = 26,349,735.57
  5. Step 5: Solve for x
    x = 26,349,735.57/5,892.81
  6. Step 6: Final answer
    x = 4,471.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.