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Finding the Fourth Proportional to 13,825.52, 20,736 and 5,929.31

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Solution

The fourth proportional to 13,825.52, 20,736 and 5,929.31 is: 8,892.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.52 : 20,736 = 5,929.31 : x
  2. Step 2: Convert to fraction form
    13,825.52/20,736 = 5,929.31/x
  3. Step 3: Cross multiply
    13,825.52x = 20,736 × 5,929.31
  4. Step 4: Simplify right side
    13,825.52x = 122,950,068.48
  5. Step 5: Solve for x
    x = 122,950,068.48/13,825.52
  6. Step 6: Final answer
    x = 8,892.98

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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.