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Finding the Fourth Proportional to 25,471.80, 38,152.30 and 15,581.16

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Solution

The fourth proportional to 25,471.80, 38,152.30 and 15,581.16 is: 23,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,471.80 : 38,152.30 = 15,581.16 : x
  2. Step 2: Convert to fraction form
    25,471.80/38,152.30 = 15,581.16/x
  3. Step 3: Cross multiply
    25,471.80x = 38,152.30 × 15,581.16
  4. Step 4: Simplify right side
    25,471.80x = 594,457,090.67
  5. Step 5: Solve for x
    x = 594,457,090.67/25,471.80
  6. Step 6: Final answer
    x = 23,337.85

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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.