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Finding the Fourth Proportional to 2,616.96, 3,612.48 and 1,789.44

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Solution

The fourth proportional to 2,616.96, 3,612.48 and 1,789.44 is: 2,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.96 : 3,612.48 = 1,789.44 : x
  2. Step 2: Convert to fraction form
    2,616.96/3,612.48 = 1,789.44/x
  3. Step 3: Cross multiply
    2,616.96x = 3,612.48 × 1,789.44
  4. Step 4: Simplify right side
    2,616.96x = 6,464,316.21
  5. Step 5: Solve for x
    x = 6,464,316.21/2,616.96
  6. Step 6: Final answer
    x = 2,470.16

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1.5x scale

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.