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Finding the Fourth Proportional to 38,680.78, 53,375.46 and 22,764.28

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Solution

The fourth proportional to 38,680.78, 53,375.46 and 22,764.28 is: 31,412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,680.78 : 53,375.46 = 22,764.28 : x
  2. Step 2: Convert to fraction form
    38,680.78/53,375.46 = 22,764.28/x
  3. Step 3: Cross multiply
    38,680.78x = 53,375.46 × 22,764.28
  4. Step 4: Simplify right side
    38,680.78x = 1,215,053,916.57
  5. Step 5: Solve for x
    x = 1,215,053,916.57/38,680.78
  6. Step 6: Final answer
    x = 31,412.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.