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Finding the Fourth Proportional to 8,829.81, 13,229.15 and 4,660.64

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Solution

The fourth proportional to 8,829.81, 13,229.15 and 4,660.64 is: 6,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829.81 : 13,229.15 = 4,660.64 : x
  2. Step 2: Convert to fraction form
    8,829.81/13,229.15 = 4,660.64/x
  3. Step 3: Cross multiply
    8,829.81x = 13,229.15 × 4,660.64
  4. Step 4: Simplify right side
    8,829.81x = 61,656,251.16
  5. Step 5: Solve for x
    x = 61,656,251.16/8,829.81
  6. Step 6: Final answer
    x = 6,982.74

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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.