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Finding the Fourth Proportional to 7,158.34, 9,876.18 and 4,013.92

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Solution

The fourth proportional to 7,158.34, 9,876.18 and 4,013.92 is: 5,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.34 : 9,876.18 = 4,013.92 : x
  2. Step 2: Convert to fraction form
    7,158.34/9,876.18 = 4,013.92/x
  3. Step 3: Cross multiply
    7,158.34x = 9,876.18 × 4,013.92
  4. Step 4: Simplify right side
    7,158.34x = 39,642,196.43
  5. Step 5: Solve for x
    x = 39,642,196.43/7,158.34
  6. Step 6: Final answer
    x = 5,537.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.