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Finding the Fourth Proportional to 6,687.70, 10,031.58 and 2,741.11

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Solution

The fourth proportional to 6,687.70, 10,031.58 and 2,741.11 is: 4,111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.70 : 10,031.58 = 2,741.11 : x
  2. Step 2: Convert to fraction form
    6,687.70/10,031.58 = 2,741.11/x
  3. Step 3: Cross multiply
    6,687.70x = 10,031.58 × 2,741.11
  4. Step 4: Simplify right side
    6,687.70x = 27,497,639.17
  5. Step 5: Solve for x
    x = 27,497,639.17/6,687.70
  6. Step 6: Final answer
    x = 4,111.68

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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.