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Finding the Fourth Proportional to 8,966.85, 12,377.61 and 7,702.85

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Solution

The fourth proportional to 8,966.85, 12,377.61 and 7,702.85 is: 10,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.85 : 12,377.61 = 7,702.85 : x
  2. Step 2: Convert to fraction form
    8,966.85/12,377.61 = 7,702.85/x
  3. Step 3: Cross multiply
    8,966.85x = 12,377.61 × 7,702.85
  4. Step 4: Simplify right side
    8,966.85x = 95,342,811.30
  5. Step 5: Solve for x
    x = 95,342,811.30/8,966.85
  6. Step 6: Final answer
    x = 10,632.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.