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Finding the Fourth Proportional to 5,131, 7,696.86 and 1,753.84

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Solution

The fourth proportional to 5,131, 7,696.86 and 1,753.84 is: 2,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131 : 7,696.86 = 1,753.84 : x
  2. Step 2: Convert to fraction form
    5,131/7,696.86 = 1,753.84/x
  3. Step 3: Cross multiply
    5,131x = 7,696.86 × 1,753.84
  4. Step 4: Simplify right side
    5,131x = 13,499,060.94
  5. Step 5: Solve for x
    x = 13,499,060.94/5,131
  6. Step 6: Final answer
    x = 2,630.88

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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.