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Finding the Fourth Proportional to 8,471.99, 12,644.10 and 7,766.15

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Solution

The fourth proportional to 8,471.99, 12,644.10 and 7,766.15 is: 11,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.99 : 12,644.10 = 7,766.15 : x
  2. Step 2: Convert to fraction form
    8,471.99/12,644.10 = 7,766.15/x
  3. Step 3: Cross multiply
    8,471.99x = 12,644.10 × 7,766.15
  4. Step 4: Simplify right side
    8,471.99x = 98,195,913.99
  5. Step 5: Solve for x
    x = 98,195,913.99/8,471.99
  6. Step 6: Final answer
    x = 11,590.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.