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Finding the Fourth Proportional to 5,424.57, 8,123.90 and 4,731.21

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Solution

The fourth proportional to 5,424.57, 8,123.90 and 4,731.21 is: 7,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.57 : 8,123.90 = 4,731.21 : x
  2. Step 2: Convert to fraction form
    5,424.57/8,123.90 = 4,731.21/x
  3. Step 3: Cross multiply
    5,424.57x = 8,123.90 × 4,731.21
  4. Step 4: Simplify right side
    5,424.57x = 38,435,853.26
  5. Step 5: Solve for x
    x = 38,435,853.26/5,424.57
  6. Step 6: Final answer
    x = 7,085.51

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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.