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Finding the Fourth Proportional to 27,553.68, 38,023.92 and 14,978.16

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Solution

The fourth proportional to 27,553.68, 38,023.92 and 14,978.16 is: 20,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,553.68 : 38,023.92 = 14,978.16 : x
  2. Step 2: Convert to fraction form
    27,553.68/38,023.92 = 14,978.16/x
  3. Step 3: Cross multiply
    27,553.68x = 38,023.92 × 14,978.16
  4. Step 4: Simplify right side
    27,553.68x = 569,528,357.59
  5. Step 5: Solve for x
    x = 569,528,357.59/27,553.68
  6. Step 6: Final answer
    x = 20,669.77

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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.