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Finding the Fourth Proportional to 2,868.80, 4,301.92 and 816.32

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Solution

The fourth proportional to 2,868.80, 4,301.92 and 816.32 is: 1,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.80 : 4,301.92 = 816.32 : x
  2. Step 2: Convert to fraction form
    2,868.80/4,301.92 = 816.32/x
  3. Step 3: Cross multiply
    2,868.80x = 4,301.92 × 816.32
  4. Step 4: Simplify right side
    2,868.80x = 3,511,743.33
  5. Step 5: Solve for x
    x = 3,511,743.33/2,868.80
  6. Step 6: Final answer
    x = 1,224.12

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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.