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Finding the Fourth Proportional to 38,460.78, 57,691.14 and 10,758.78

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Solution

The fourth proportional to 38,460.78, 57,691.14 and 10,758.78 is: 16,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,460.78 : 57,691.14 = 10,758.78 : x
  2. Step 2: Convert to fraction form
    38,460.78/57,691.14 = 10,758.78/x
  3. Step 3: Cross multiply
    38,460.78x = 57,691.14 × 10,758.78
  4. Step 4: Simplify right side
    38,460.78x = 620,686,283.21
  5. Step 5: Solve for x
    x = 620,686,283.21/38,460.78
  6. Step 6: Final answer
    x = 16,138.16

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1.5x scale

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.