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Finding the Fourth Proportional to 8,382.59, 12,573.89 and 2,142.39

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Solution

The fourth proportional to 8,382.59, 12,573.89 and 2,142.39 is: 3,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.59 : 12,573.89 = 2,142.39 : x
  2. Step 2: Convert to fraction form
    8,382.59/12,573.89 = 2,142.39/x
  3. Step 3: Cross multiply
    8,382.59x = 12,573.89 × 2,142.39
  4. Step 4: Simplify right side
    8,382.59x = 26,938,102.62
  5. Step 5: Solve for x
    x = 26,938,102.62/8,382.59
  6. Step 6: Final answer
    x = 3,213.58

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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.