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Finding the Fourth Proportional to 38,382.74, 57,490.76 and 18,619.76

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Solution

The fourth proportional to 38,382.74, 57,490.76 and 18,619.76 is: 27,889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,382.74 : 57,490.76 = 18,619.76 : x
  2. Step 2: Convert to fraction form
    38,382.74/57,490.76 = 18,619.76/x
  3. Step 3: Cross multiply
    38,382.74x = 57,490.76 × 18,619.76
  4. Step 4: Simplify right side
    38,382.74x = 1,070,464,153.42
  5. Step 5: Solve for x
    x = 1,070,464,153.42/38,382.74
  6. Step 6: Final answer
    x = 27,889.21

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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.