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Finding the Fourth Proportional to 6,506.11, 8,978.34 and 3,634.89

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Solution

The fourth proportional to 6,506.11, 8,978.34 and 3,634.89 is: 5,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.11 : 8,978.34 = 3,634.89 : x
  2. Step 2: Convert to fraction form
    6,506.11/8,978.34 = 3,634.89/x
  3. Step 3: Cross multiply
    6,506.11x = 8,978.34 × 3,634.89
  4. Step 4: Simplify right side
    6,506.11x = 32,635,278.28
  5. Step 5: Solve for x
    x = 32,635,278.28/6,506.11
  6. Step 6: Final answer
    x = 5,016.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.