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Finding the Fourth Proportional to 6,986.82, 10,478.13 and 2,543.91

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Solution

The fourth proportional to 6,986.82, 10,478.13 and 2,543.91 is: 3,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.82 : 10,478.13 = 2,543.91 : x
  2. Step 2: Convert to fraction form
    6,986.82/10,478.13 = 2,543.91/x
  3. Step 3: Cross multiply
    6,986.82x = 10,478.13 × 2,543.91
  4. Step 4: Simplify right side
    6,986.82x = 26,655,419.69
  5. Step 5: Solve for x
    x = 26,655,419.69/6,986.82
  6. Step 6: Final answer
    x = 3,815.10

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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.