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Finding the Fourth Proportional to 15,076, 20,805.14 and 8,361.92

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Solution

The fourth proportional to 15,076, 20,805.14 and 8,361.92 is: 11,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076 : 20,805.14 = 8,361.92 : x
  2. Step 2: Convert to fraction form
    15,076/20,805.14 = 8,361.92/x
  3. Step 3: Cross multiply
    15,076x = 20,805.14 × 8,361.92
  4. Step 4: Simplify right side
    15,076x = 173,970,916.27
  5. Step 5: Solve for x
    x = 173,970,916.27/15,076
  6. Step 6: Final answer
    x = 11,539.59

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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.