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Finding the Fourth Proportional to 9,884.72, 14,826.96 and 7,129.04

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Solution

The fourth proportional to 9,884.72, 14,826.96 and 7,129.04 is: 10,693.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.72 : 14,826.96 = 7,129.04 : x
  2. Step 2: Convert to fraction form
    9,884.72/14,826.96 = 7,129.04/x
  3. Step 3: Cross multiply
    9,884.72x = 14,826.96 × 7,129.04
  4. Step 4: Simplify right side
    9,884.72x = 105,701,990.92
  5. Step 5: Solve for x
    x = 105,701,990.92/9,884.72
  6. Step 6: Final answer
    x = 10,693.47

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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.