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Finding the Fourth Proportional to 11,545.72, 15,938.42 and 6,765

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Solution

The fourth proportional to 11,545.72, 15,938.42 and 6,765 is: 9,338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.72 : 15,938.42 = 6,765 : x
  2. Step 2: Convert to fraction form
    11,545.72/15,938.42 = 6,765/x
  3. Step 3: Cross multiply
    11,545.72x = 15,938.42 × 6,765
  4. Step 4: Simplify right side
    11,545.72x = 107,823,411.30
  5. Step 5: Solve for x
    x = 107,823,411.30/11,545.72
  6. Step 6: Final answer
    x = 9,338.82

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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.