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Finding the Fourth Proportional to 5,136.72, 7,708.71 and 4,641

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Solution

The fourth proportional to 5,136.72, 7,708.71 and 4,641 is: 6,964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.72 : 7,708.71 = 4,641 : x
  2. Step 2: Convert to fraction form
    5,136.72/7,708.71 = 4,641/x
  3. Step 3: Cross multiply
    5,136.72x = 7,708.71 × 4,641
  4. Step 4: Simplify right side
    5,136.72x = 35,776,123.11
  5. Step 5: Solve for x
    x = 35,776,123.11/5,136.72
  6. Step 6: Final answer
    x = 6,964.78

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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.