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Finding the Fourth Proportional to 6,486.74, 9,731.02 and 2,102.78

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Solution

The fourth proportional to 6,486.74, 9,731.02 and 2,102.78 is: 3,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.74 : 9,731.02 = 2,102.78 : x
  2. Step 2: Convert to fraction form
    6,486.74/9,731.02 = 2,102.78/x
  3. Step 3: Cross multiply
    6,486.74x = 9,731.02 × 2,102.78
  4. Step 4: Simplify right side
    6,486.74x = 20,462,194.24
  5. Step 5: Solve for x
    x = 20,462,194.24/6,486.74
  6. Step 6: Final answer
    x = 3,154.46

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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.