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Finding the Fourth Proportional to 10,471.78, 15,694.90 and 4,917.72

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Solution

The fourth proportional to 10,471.78, 15,694.90 and 4,917.72 is: 7,370.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.78 : 15,694.90 = 4,917.72 : x
  2. Step 2: Convert to fraction form
    10,471.78/15,694.90 = 4,917.72/x
  3. Step 3: Cross multiply
    10,471.78x = 15,694.90 × 4,917.72
  4. Step 4: Simplify right side
    10,471.78x = 77,183,123.63
  5. Step 5: Solve for x
    x = 77,183,123.63/10,471.78
  6. Step 6: Final answer
    x = 7,370.58

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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.