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Finding the Fourth Proportional to 8,763.57, 13,128.33 and 7,781.85

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Solution

The fourth proportional to 8,763.57, 13,128.33 and 7,781.85 is: 11,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,763.57 : 13,128.33 = 7,781.85 : x
  2. Step 2: Convert to fraction form
    8,763.57/13,128.33 = 7,781.85/x
  3. Step 3: Cross multiply
    8,763.57x = 13,128.33 × 7,781.85
  4. Step 4: Simplify right side
    8,763.57x = 102,162,694.81
  5. Step 5: Solve for x
    x = 102,162,694.81/8,763.57
  6. Step 6: Final answer
    x = 11,657.66

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1.5x scale

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.