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Finding the Fourth Proportional to 25,880, 38,792.31 and 13,387.44

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Solution

The fourth proportional to 25,880, 38,792.31 and 13,387.44 is: 20,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,880 : 38,792.31 = 13,387.44 : x
  2. Step 2: Convert to fraction form
    25,880/38,792.31 = 13,387.44/x
  3. Step 3: Cross multiply
    25,880x = 38,792.31 × 13,387.44
  4. Step 4: Simplify right side
    25,880x = 519,329,722.59
  5. Step 5: Solve for x
    x = 519,329,722.59/25,880
  6. Step 6: Final answer
    x = 20,066.84

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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.