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Finding the Fourth Proportional to 2,969.80, 4,098.18 and 1,920.04

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Solution

The fourth proportional to 2,969.80, 4,098.18 and 1,920.04 is: 2,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.80 : 4,098.18 = 1,920.04 : x
  2. Step 2: Convert to fraction form
    2,969.80/4,098.18 = 1,920.04/x
  3. Step 3: Cross multiply
    2,969.80x = 4,098.18 × 1,920.04
  4. Step 4: Simplify right side
    2,969.80x = 7,868,669.53
  5. Step 5: Solve for x
    x = 7,868,669.53/2,969.80
  6. Step 6: Final answer
    x = 2,649.56

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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.