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Finding the Fourth Proportional to 8,363.71, 11,535.87 and 7,102.78

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Solution

The fourth proportional to 8,363.71, 11,535.87 and 7,102.78 is: 9,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.71 : 11,535.87 = 7,102.78 : x
  2. Step 2: Convert to fraction form
    8,363.71/11,535.87 = 7,102.78/x
  3. Step 3: Cross multiply
    8,363.71x = 11,535.87 × 7,102.78
  4. Step 4: Simplify right side
    8,363.71x = 81,936,717.88
  5. Step 5: Solve for x
    x = 81,936,717.88/8,363.71
  6. Step 6: Final answer
    x = 9,796.70

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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.