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Finding the Fourth Proportional to 8,381.66, 12,556.29 and 6,532.16

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Solution

The fourth proportional to 8,381.66, 12,556.29 and 6,532.16 is: 9,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.66 : 12,556.29 = 6,532.16 : x
  2. Step 2: Convert to fraction form
    8,381.66/12,556.29 = 6,532.16/x
  3. Step 3: Cross multiply
    8,381.66x = 12,556.29 × 6,532.16
  4. Step 4: Simplify right side
    8,381.66x = 82,019,695.29
  5. Step 5: Solve for x
    x = 82,019,695.29/8,381.66
  6. Step 6: Final answer
    x = 9,785.61

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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.