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Finding the Fourth Proportional to 11,499.75, 15,871.05 and 6,464.17

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Solution

The fourth proportional to 11,499.75, 15,871.05 and 6,464.17 is: 8,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.75 : 15,871.05 = 6,464.17 : x
  2. Step 2: Convert to fraction form
    11,499.75/15,871.05 = 6,464.17/x
  3. Step 3: Cross multiply
    11,499.75x = 15,871.05 × 6,464.17
  4. Step 4: Simplify right side
    11,499.75x = 102,593,165.28
  5. Step 5: Solve for x
    x = 102,593,165.28/11,499.75
  6. Step 6: Final answer
    x = 8,921.34

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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.