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Finding the Fourth Proportional to 27,752.68, 38,299.26 and 15,178.24

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Solution

The fourth proportional to 27,752.68, 38,299.26 and 15,178.24 is: 20,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,752.68 : 38,299.26 = 15,178.24 : x
  2. Step 2: Convert to fraction form
    27,752.68/38,299.26 = 15,178.24/x
  3. Step 3: Cross multiply
    27,752.68x = 38,299.26 × 15,178.24
  4. Step 4: Simplify right side
    27,752.68x = 581,315,360.10
  5. Step 5: Solve for x
    x = 581,315,360.10/27,752.68
  6. Step 6: Final answer
    x = 20,946.28

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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.