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Finding the Fourth Proportional to 11,497.85, 15,867.18 and 6,461.78

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Solution

The fourth proportional to 11,497.85, 15,867.18 and 6,461.78 is: 8,917.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.85 : 15,867.18 = 6,461.78 : x
  2. Step 2: Convert to fraction form
    11,497.85/15,867.18 = 6,461.78/x
  3. Step 3: Cross multiply
    11,497.85x = 15,867.18 × 6,461.78
  4. Step 4: Simplify right side
    11,497.85x = 102,530,170.56
  5. Step 5: Solve for x
    x = 102,530,170.56/11,497.85
  6. Step 6: Final answer
    x = 8,917.33

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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.