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Finding the Fourth Proportional to 5,414.76, 7,472.38 and 2,930.76

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Solution

The fourth proportional to 5,414.76, 7,472.38 and 2,930.76 is: 4,044.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.76 : 7,472.38 = 2,930.76 : x
  2. Step 2: Convert to fraction form
    5,414.76/7,472.38 = 2,930.76/x
  3. Step 3: Cross multiply
    5,414.76x = 7,472.38 × 2,930.76
  4. Step 4: Simplify right side
    5,414.76x = 21,899,752.41
  5. Step 5: Solve for x
    x = 21,899,752.41/5,414.76
  6. Step 6: Final answer
    x = 4,044.45

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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.