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Finding the Fourth Proportional to 8,350.78, 12,528 and 2,507.85

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Solution

The fourth proportional to 8,350.78, 12,528 and 2,507.85 is: 3,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,350.78 : 12,528 = 2,507.85 : x
  2. Step 2: Convert to fraction form
    8,350.78/12,528 = 2,507.85/x
  3. Step 3: Cross multiply
    8,350.78x = 12,528 × 2,507.85
  4. Step 4: Simplify right side
    8,350.78x = 31,418,344.80
  5. Step 5: Solve for x
    x = 31,418,344.80/8,350.78
  6. Step 6: Final answer
    x = 3,762.32

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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.