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Finding the Fourth Proportional to 11,142, 15,375.96 and 6,174

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Solution

The fourth proportional to 11,142, 15,375.96 and 6,174 is: 8,520.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,142 : 15,375.96 = 6,174 : x
  2. Step 2: Convert to fraction form
    11,142/15,375.96 = 6,174/x
  3. Step 3: Cross multiply
    11,142x = 15,375.96 × 6,174
  4. Step 4: Simplify right side
    11,142x = 94,931,177.04
  5. Step 5: Solve for x
    x = 94,931,177.04/11,142
  6. Step 6: Final answer
    x = 8,520.12

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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.