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Finding the Fourth Proportional to 8,417.46, 11,552.05 and 7,746.78

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Solution

The fourth proportional to 8,417.46, 11,552.05 and 7,746.78 is: 10,631.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.46 : 11,552.05 = 7,746.78 : x
  2. Step 2: Convert to fraction form
    8,417.46/11,552.05 = 7,746.78/x
  3. Step 3: Cross multiply
    8,417.46x = 11,552.05 × 7,746.78
  4. Step 4: Simplify right side
    8,417.46x = 89,491,189.90
  5. Step 5: Solve for x
    x = 89,491,189.90/8,417.46
  6. Step 6: Final answer
    x = 10,631.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.