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Finding the Fourth Proportional to 7,872.22, 11,807.61 and 2,400.22

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Solution

The fourth proportional to 7,872.22, 11,807.61 and 2,400.22 is: 3,600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.22 : 11,807.61 = 2,400.22 : x
  2. Step 2: Convert to fraction form
    7,872.22/11,807.61 = 2,400.22/x
  3. Step 3: Cross multiply
    7,872.22x = 11,807.61 × 2,400.22
  4. Step 4: Simplify right side
    7,872.22x = 28,340,861.67
  5. Step 5: Solve for x
    x = 28,340,861.67/7,872.22
  6. Step 6: Final answer
    x = 3,600.11

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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.