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Finding the Fourth Proportional to 10,439.64, 15,659.46 and 6,327

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Solution

The fourth proportional to 10,439.64, 15,659.46 and 6,327 is: 9,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.64 : 15,659.46 = 6,327 : x
  2. Step 2: Convert to fraction form
    10,439.64/15,659.46 = 6,327/x
  3. Step 3: Cross multiply
    10,439.64x = 15,659.46 × 6,327
  4. Step 4: Simplify right side
    10,439.64x = 99,077,403.42
  5. Step 5: Solve for x
    x = 99,077,403.42/10,439.64
  6. Step 6: Final answer
    x = 9,490.50

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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.