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Finding the Fourth Proportional to 8,377.69, 11,559.15 and 4,743.80

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Solution

The fourth proportional to 8,377.69, 11,559.15 and 4,743.80 is: 6,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.69 : 11,559.15 = 4,743.80 : x
  2. Step 2: Convert to fraction form
    8,377.69/11,559.15 = 4,743.80/x
  3. Step 3: Cross multiply
    8,377.69x = 11,559.15 × 4,743.80
  4. Step 4: Simplify right side
    8,377.69x = 54,834,253.60
  5. Step 5: Solve for x
    x = 54,834,253.60/8,377.69
  6. Step 6: Final answer
    x = 6,545.27

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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.