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Finding the Fourth Proportional to 5,262.80, 7,891.29 and 2,142

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Solution

The fourth proportional to 5,262.80, 7,891.29 and 2,142 is: 3,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.80 : 7,891.29 = 2,142 : x
  2. Step 2: Convert to fraction form
    5,262.80/7,891.29 = 2,142/x
  3. Step 3: Cross multiply
    5,262.80x = 7,891.29 × 2,142
  4. Step 4: Simplify right side
    5,262.80x = 16,903,143.18
  5. Step 5: Solve for x
    x = 16,903,143.18/5,262.80
  6. Step 6: Final answer
    x = 3,211.82

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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.