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Finding the Fourth Proportional to 6,641.82, 9,966.60 and 2,943.90

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Solution

The fourth proportional to 6,641.82, 9,966.60 and 2,943.90 is: 4,417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.82 : 9,966.60 = 2,943.90 : x
  2. Step 2: Convert to fraction form
    6,641.82/9,966.60 = 2,943.90/x
  3. Step 3: Cross multiply
    6,641.82x = 9,966.60 × 2,943.90
  4. Step 4: Simplify right side
    6,641.82x = 29,340,673.74
  5. Step 5: Solve for x
    x = 29,340,673.74/6,641.82
  6. Step 6: Final answer
    x = 4,417.57

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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.