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Finding the Fourth Proportional to 6,649.61, 9,964.98 and 3,689.34

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Solution

The fourth proportional to 6,649.61, 9,964.98 and 3,689.34 is: 5,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.61 : 9,964.98 = 3,689.34 : x
  2. Step 2: Convert to fraction form
    6,649.61/9,964.98 = 3,689.34/x
  3. Step 3: Cross multiply
    6,649.61x = 9,964.98 × 3,689.34
  4. Step 4: Simplify right side
    6,649.61x = 36,764,199.31
  5. Step 5: Solve for x
    x = 36,764,199.31/6,649.61
  6. Step 6: Final answer
    x = 5,528.78

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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.