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Finding the Fourth Proportional to 13,677.52, 18,864.24 and 9,901.24

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Solution

The fourth proportional to 13,677.52, 18,864.24 and 9,901.24 is: 13,655.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.52 : 18,864.24 = 9,901.24 : x
  2. Step 2: Convert to fraction form
    13,677.52/18,864.24 = 9,901.24/x
  3. Step 3: Cross multiply
    13,677.52x = 18,864.24 × 9,901.24
  4. Step 4: Simplify right side
    13,677.52x = 186,779,367.66
  5. Step 5: Solve for x
    x = 186,779,367.66/13,677.52
  6. Step 6: Final answer
    x = 13,655.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.