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Finding the Fourth Proportional to 12,753.64, 17,600.42 and 7,718.78

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Solution

The fourth proportional to 12,753.64, 17,600.42 and 7,718.78 is: 10,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.64 : 17,600.42 = 7,718.78 : x
  2. Step 2: Convert to fraction form
    12,753.64/17,600.42 = 7,718.78/x
  3. Step 3: Cross multiply
    12,753.64x = 17,600.42 × 7,718.78
  4. Step 4: Simplify right side
    12,753.64x = 135,853,833.19
  5. Step 5: Solve for x
    x = 135,853,833.19/12,753.64
  6. Step 6: Final answer
    x = 10,652.16

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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.