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Finding the Fourth Proportional to 9,921.72, 13,685.82 and 8,593.14

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Solution

The fourth proportional to 9,921.72, 13,685.82 and 8,593.14 is: 11,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.72 : 13,685.82 = 8,593.14 : x
  2. Step 2: Convert to fraction form
    9,921.72/13,685.82 = 8,593.14/x
  3. Step 3: Cross multiply
    9,921.72x = 13,685.82 × 8,593.14
  4. Step 4: Simplify right side
    9,921.72x = 117,604,167.27
  5. Step 5: Solve for x
    x = 117,604,167.27/9,921.72
  6. Step 6: Final answer
    x = 11,853.20

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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.