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Finding the Fourth Proportional to 10,423.43, 15,638.06 and 4,187.82

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Solution

The fourth proportional to 10,423.43, 15,638.06 and 4,187.82 is: 6,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.43 : 15,638.06 = 4,187.82 : x
  2. Step 2: Convert to fraction form
    10,423.43/15,638.06 = 4,187.82/x
  3. Step 3: Cross multiply
    10,423.43x = 15,638.06 × 4,187.82
  4. Step 4: Simplify right side
    10,423.43x = 65,489,370.41
  5. Step 5: Solve for x
    x = 65,489,370.41/10,423.43
  6. Step 6: Final answer
    x = 6,282.90

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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.