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Finding the Fourth Proportional to 8,257.43, 12,365 and 4,555.55

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Solution

The fourth proportional to 8,257.43, 12,365 and 4,555.55 is: 6,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.43 : 12,365 = 4,555.55 : x
  2. Step 2: Convert to fraction form
    8,257.43/12,365 = 4,555.55/x
  3. Step 3: Cross multiply
    8,257.43x = 12,365 × 4,555.55
  4. Step 4: Simplify right side
    8,257.43x = 56,329,375.75
  5. Step 5: Solve for x
    x = 56,329,375.75/8,257.43
  6. Step 6: Final answer
    x = 6,821.66

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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.