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Finding the Fourth Proportional to 10,102.30, 13,944.92 and 8,680.30

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Solution

The fourth proportional to 10,102.30, 13,944.92 and 8,680.30 is: 11,982.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.30 : 13,944.92 = 8,680.30 : x
  2. Step 2: Convert to fraction form
    10,102.30/13,944.92 = 8,680.30/x
  3. Step 3: Cross multiply
    10,102.30x = 13,944.92 × 8,680.30
  4. Step 4: Simplify right side
    10,102.30x = 121,046,045.67
  5. Step 5: Solve for x
    x = 121,046,045.67/10,102.30
  6. Step 6: Final answer
    x = 11,982.03

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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.