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Finding the Fourth Proportional to 8,484.35, 12,702.72 and 6,397.79

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Solution

The fourth proportional to 8,484.35, 12,702.72 and 6,397.79 is: 9,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.35 : 12,702.72 = 6,397.79 : x
  2. Step 2: Convert to fraction form
    8,484.35/12,702.72 = 6,397.79/x
  3. Step 3: Cross multiply
    8,484.35x = 12,702.72 × 6,397.79
  4. Step 4: Simplify right side
    8,484.35x = 81,269,295.47
  5. Step 5: Solve for x
    x = 81,269,295.47/8,484.35
  6. Step 6: Final answer
    x = 9,578.74

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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.