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Finding the Fourth Proportional to 38,470.40, 57,708.30 and 21,838.40

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Solution

The fourth proportional to 38,470.40, 57,708.30 and 21,838.40 is: 32,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470.40 : 57,708.30 = 21,838.40 : x
  2. Step 2: Convert to fraction form
    38,470.40/57,708.30 = 21,838.40/x
  3. Step 3: Cross multiply
    38,470.40x = 57,708.30 × 21,838.40
  4. Step 4: Simplify right side
    38,470.40x = 1,260,256,938.72
  5. Step 5: Solve for x
    x = 1,260,256,938.72/38,470.40
  6. Step 6: Final answer
    x = 32,759.13

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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.