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Finding the Fourth Proportional to 2,296.80, 3,169.55 and 1,248.86

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Solution

The fourth proportional to 2,296.80, 3,169.55 and 1,248.86 is: 1,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.80 : 3,169.55 = 1,248.86 : x
  2. Step 2: Convert to fraction form
    2,296.80/3,169.55 = 1,248.86/x
  3. Step 3: Cross multiply
    2,296.80x = 3,169.55 × 1,248.86
  4. Step 4: Simplify right side
    2,296.80x = 3,958,302.12
  5. Step 5: Solve for x
    x = 3,958,302.12/2,296.80
  6. Step 6: Final answer
    x = 1,723.40

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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.