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Finding the Fourth Proportional to 6,648.80, 9,969.89 and 3,876.17

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Solution

The fourth proportional to 6,648.80, 9,969.89 and 3,876.17 is: 5,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.80 : 9,969.89 = 3,876.17 : x
  2. Step 2: Convert to fraction form
    6,648.80/9,969.89 = 3,876.17/x
  3. Step 3: Cross multiply
    6,648.80x = 9,969.89 × 3,876.17
  4. Step 4: Simplify right side
    6,648.80x = 38,644,948.36
  5. Step 5: Solve for x
    x = 38,644,948.36/6,648.80
  6. Step 6: Final answer
    x = 5,812.32

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1.5x scale

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.