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Finding the Fourth Proportional to 8,115.80, 11,195.70 and 7,475.90

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Solution

The fourth proportional to 8,115.80, 11,195.70 and 7,475.90 is: 10,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.80 : 11,195.70 = 7,475.90 : x
  2. Step 2: Convert to fraction form
    8,115.80/11,195.70 = 7,475.90/x
  3. Step 3: Cross multiply
    8,115.80x = 11,195.70 × 7,475.90
  4. Step 4: Simplify right side
    8,115.80x = 83,697,933.63
  5. Step 5: Solve for x
    x = 83,697,933.63/8,115.80
  6. Step 6: Final answer
    x = 10,312.96

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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.