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Finding the Fourth Proportional to 9,982.79, 14,979.68 and 8,415.53

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Solution

The fourth proportional to 9,982.79, 14,979.68 and 8,415.53 is: 12,627.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.79 : 14,979.68 = 8,415.53 : x
  2. Step 2: Convert to fraction form
    9,982.79/14,979.68 = 8,415.53/x
  3. Step 3: Cross multiply
    9,982.79x = 14,979.68 × 8,415.53
  4. Step 4: Simplify right side
    9,982.79x = 126,061,904.35
  5. Step 5: Solve for x
    x = 126,061,904.35/9,982.79
  6. Step 6: Final answer
    x = 12,627.92

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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.