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Finding the Fourth Proportional to 8,242.14, 11,375.10 and 7,983.74

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Solution

The fourth proportional to 8,242.14, 11,375.10 and 7,983.74 is: 11,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.14 : 11,375.10 = 7,983.74 : x
  2. Step 2: Convert to fraction form
    8,242.14/11,375.10 = 7,983.74/x
  3. Step 3: Cross multiply
    8,242.14x = 11,375.10 × 7,983.74
  4. Step 4: Simplify right side
    8,242.14x = 90,815,840.87
  5. Step 5: Solve for x
    x = 90,815,840.87/8,242.14
  6. Step 6: Final answer
    x = 11,018.48

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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.