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Finding the Fourth Proportional to 25,712, 38,562.24 and 12,558.08

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Solution

The fourth proportional to 25,712, 38,562.24 and 12,558.08 is: 18,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712 : 38,562.24 = 12,558.08 : x
  2. Step 2: Convert to fraction form
    25,712/38,562.24 = 12,558.08/x
  3. Step 3: Cross multiply
    25,712x = 38,562.24 × 12,558.08
  4. Step 4: Simplify right side
    25,712x = 484,267,694.90
  5. Step 5: Solve for x
    x = 484,267,694.90/25,712
  6. Step 6: Final answer
    x = 18,834.31

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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.