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Finding the Fourth Proportional to 11,513.97, 15,889.28 and 6,545.97

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Solution

The fourth proportional to 11,513.97, 15,889.28 and 6,545.97 is: 9,033.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.97 : 15,889.28 = 6,545.97 : x
  2. Step 2: Convert to fraction form
    11,513.97/15,889.28 = 6,545.97/x
  3. Step 3: Cross multiply
    11,513.97x = 15,889.28 × 6,545.97
  4. Step 4: Simplify right side
    11,513.97x = 104,010,733.84
  5. Step 5: Solve for x
    x = 104,010,733.84/11,513.97
  6. Step 6: Final answer
    x = 9,033.44

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1.5x scale

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.