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Finding the Fourth Proportional to 4,142, 5,715.98 and 2,279

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Solution

The fourth proportional to 4,142, 5,715.98 and 2,279 is: 3,145.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142 : 5,715.98 = 2,279 : x
  2. Step 2: Convert to fraction form
    4,142/5,715.98 = 2,279/x
  3. Step 3: Cross multiply
    4,142x = 5,715.98 × 2,279
  4. Step 4: Simplify right side
    4,142x = 13,026,718.42
  5. Step 5: Solve for x
    x = 13,026,718.42/4,142
  6. Step 6: Final answer
    x = 3,145.03

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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.