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Finding the Fourth Proportional to 8,358, 12,540.57 and 4,195.86

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Solution

The fourth proportional to 8,358, 12,540.57 and 4,195.86 is: 6,295.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358 : 12,540.57 = 4,195.86 : x
  2. Step 2: Convert to fraction form
    8,358/12,540.57 = 4,195.86/x
  3. Step 3: Cross multiply
    8,358x = 12,540.57 × 4,195.86
  4. Step 4: Simplify right side
    8,358x = 52,618,476.04
  5. Step 5: Solve for x
    x = 52,618,476.04/8,358
  6. Step 6: Final answer
    x = 6,295.58

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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.