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Finding the Fourth Proportional to 10,414.78, 15,661.86 and 8,311.21

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Solution

The fourth proportional to 10,414.78, 15,661.86 and 8,311.21 is: 12,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.78 : 15,661.86 = 8,311.21 : x
  2. Step 2: Convert to fraction form
    10,414.78/15,661.86 = 8,311.21/x
  3. Step 3: Cross multiply
    10,414.78x = 15,661.86 × 8,311.21
  4. Step 4: Simplify right side
    10,414.78x = 130,168,937.13
  5. Step 5: Solve for x
    x = 130,168,937.13/10,414.78
  6. Step 6: Final answer
    x = 12,498.48

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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.