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Finding the Fourth Proportional to 8,000.10, 11,930.15 and 7,563.38

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Solution

The fourth proportional to 8,000.10, 11,930.15 and 7,563.38 is: 11,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.10 : 11,930.15 = 7,563.38 : x
  2. Step 2: Convert to fraction form
    8,000.10/11,930.15 = 7,563.38/x
  3. Step 3: Cross multiply
    8,000.10x = 11,930.15 × 7,563.38
  4. Step 4: Simplify right side
    8,000.10x = 90,232,217.16
  5. Step 5: Solve for x
    x = 90,232,217.16/8,000.10
  6. Step 6: Final answer
    x = 11,278.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.