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Finding the Fourth Proportional to 6,641.32, 9,164.64 and 3,656.66

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Solution

The fourth proportional to 6,641.32, 9,164.64 and 3,656.66 is: 5,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.32 : 9,164.64 = 3,656.66 : x
  2. Step 2: Convert to fraction form
    6,641.32/9,164.64 = 3,656.66/x
  3. Step 3: Cross multiply
    6,641.32x = 9,164.64 × 3,656.66
  4. Step 4: Simplify right side
    6,641.32x = 33,511,972.50
  5. Step 5: Solve for x
    x = 33,511,972.50/6,641.32
  6. Step 6: Final answer
    x = 5,045.98

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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.