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Finding the Fourth Proportional to 8,647.97, 11,929.23 and 5,460.13

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Solution

The fourth proportional to 8,647.97, 11,929.23 and 5,460.13 is: 7,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.97 : 11,929.23 = 5,460.13 : x
  2. Step 2: Convert to fraction form
    8,647.97/11,929.23 = 5,460.13/x
  3. Step 3: Cross multiply
    8,647.97x = 11,929.23 × 5,460.13
  4. Step 4: Simplify right side
    8,647.97x = 65,135,198.90
  5. Step 5: Solve for x
    x = 65,135,198.90/8,647.97
  6. Step 6: Final answer
    x = 7,531.85

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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.