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Finding the Fourth Proportional to 2,780.16, 4,169.92 and 728.32

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Solution

The fourth proportional to 2,780.16, 4,169.92 and 728.32 is: 1,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.16 : 4,169.92 = 728.32 : x
  2. Step 2: Convert to fraction form
    2,780.16/4,169.92 = 728.32/x
  3. Step 3: Cross multiply
    2,780.16x = 4,169.92 × 728.32
  4. Step 4: Simplify right side
    2,780.16x = 3,037,036.13
  5. Step 5: Solve for x
    x = 3,037,036.13/2,780.16
  6. Step 6: Final answer
    x = 1,092.40

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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.