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Finding the Fourth Proportional to 6,691.97, 10,038.47 and 2,011.61

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Solution

The fourth proportional to 6,691.97, 10,038.47 and 2,011.61 is: 3,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.97 : 10,038.47 = 2,011.61 : x
  2. Step 2: Convert to fraction form
    6,691.97/10,038.47 = 2,011.61/x
  3. Step 3: Cross multiply
    6,691.97x = 10,038.47 × 2,011.61
  4. Step 4: Simplify right side
    6,691.97x = 20,193,486.64
  5. Step 5: Solve for x
    x = 20,193,486.64/6,691.97
  6. Step 6: Final answer
    x = 3,017.57

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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.