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Finding the Fourth Proportional to 38,382.52, 57,573.78 and 21,955

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Solution

The fourth proportional to 38,382.52, 57,573.78 and 21,955 is: 32,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,382.52 : 57,573.78 = 21,955 : x
  2. Step 2: Convert to fraction form
    38,382.52/57,573.78 = 21,955/x
  3. Step 3: Cross multiply
    38,382.52x = 57,573.78 × 21,955
  4. Step 4: Simplify right side
    38,382.52x = 1,264,032,339.90
  5. Step 5: Solve for x
    x = 1,264,032,339.90/38,382.52
  6. Step 6: Final answer
    x = 32,932.50

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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.