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Finding the Fourth Proportional to 8,601.97, 12,899.86 and 2,978.11

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Solution

The fourth proportional to 8,601.97, 12,899.86 and 2,978.11 is: 4,466.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.97 : 12,899.86 = 2,978.11 : x
  2. Step 2: Convert to fraction form
    8,601.97/12,899.86 = 2,978.11/x
  3. Step 3: Cross multiply
    8,601.97x = 12,899.86 × 2,978.11
  4. Step 4: Simplify right side
    8,601.97x = 38,417,187.17
  5. Step 5: Solve for x
    x = 38,417,187.17/8,601.97
  6. Step 6: Final answer
    x = 4,466.09

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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.