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Finding the Fourth Proportional to 11,500.76, 15,871.14 and 6,464.66

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Solution

The fourth proportional to 11,500.76, 15,871.14 and 6,464.66 is: 8,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.76 : 15,871.14 = 6,464.66 : x
  2. Step 2: Convert to fraction form
    11,500.76/15,871.14 = 6,464.66/x
  3. Step 3: Cross multiply
    11,500.76x = 15,871.14 × 6,464.66
  4. Step 4: Simplify right side
    11,500.76x = 102,601,523.91
  5. Step 5: Solve for x
    x = 102,601,523.91/11,500.76
  6. Step 6: Final answer
    x = 8,921.28

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Half scale
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Double scale
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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.