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Finding the Fourth Proportional to 14,979, 22,469.60 and 5,745

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Solution

The fourth proportional to 14,979, 22,469.60 and 5,745 is: 8,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,979 : 22,469.60 = 5,745 : x
  2. Step 2: Convert to fraction form
    14,979/22,469.60 = 5,745/x
  3. Step 3: Cross multiply
    14,979x = 22,469.60 × 5,745
  4. Step 4: Simplify right side
    14,979x = 129,087,852.00
  5. Step 5: Solve for x
    x = 129,087,852.00/14,979
  6. Step 6: Final answer
    x = 8,617.92

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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.