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Finding the Fourth Proportional to 8,000.78, 12,003.12 and 2,454.12

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Solution

The fourth proportional to 8,000.78, 12,003.12 and 2,454.12 is: 3,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.78 : 12,003.12 = 2,454.12 : x
  2. Step 2: Convert to fraction form
    8,000.78/12,003.12 = 2,454.12/x
  3. Step 3: Cross multiply
    8,000.78x = 12,003.12 × 2,454.12
  4. Step 4: Simplify right side
    8,000.78x = 29,457,096.85
  5. Step 5: Solve for x
    x = 29,457,096.85/8,000.78
  6. Step 6: Final answer
    x = 3,681.78

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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.