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Finding the Fourth Proportional to 10,264.32, 15,379.20 and 8,208

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Solution

The fourth proportional to 10,264.32, 15,379.20 and 8,208 is: 12,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.32 : 15,379.20 = 8,208 : x
  2. Step 2: Convert to fraction form
    10,264.32/15,379.20 = 8,208/x
  3. Step 3: Cross multiply
    10,264.32x = 15,379.20 × 8,208
  4. Step 4: Simplify right side
    10,264.32x = 126,232,473.60
  5. Step 5: Solve for x
    x = 126,232,473.60/10,264.32
  6. Step 6: Final answer
    x = 12,298.18

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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.