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Finding the Fourth Proportional to 10,343.12, 15,519.82 and 4,103

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Solution

The fourth proportional to 10,343.12, 15,519.82 and 4,103 is: 6,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.12 : 15,519.82 = 4,103 : x
  2. Step 2: Convert to fraction form
    10,343.12/15,519.82 = 4,103/x
  3. Step 3: Cross multiply
    10,343.12x = 15,519.82 × 4,103
  4. Step 4: Simplify right side
    10,343.12x = 63,677,821.46
  5. Step 5: Solve for x
    x = 63,677,821.46/10,343.12
  6. Step 6: Final answer
    x = 6,156.54

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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.