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Finding the Fourth Proportional to 8,647.98, 12,978.45 and 6,937.26

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Solution

The fourth proportional to 8,647.98, 12,978.45 and 6,937.26 is: 10,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.98 : 12,978.45 = 6,937.26 : x
  2. Step 2: Convert to fraction form
    8,647.98/12,978.45 = 6,937.26/x
  3. Step 3: Cross multiply
    8,647.98x = 12,978.45 × 6,937.26
  4. Step 4: Simplify right side
    8,647.98x = 90,034,882.05
  5. Step 5: Solve for x
    x = 90,034,882.05/8,647.98
  6. Step 6: Final answer
    x = 10,411.09

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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.