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Finding the Fourth Proportional to 2,648.77, 3,646.96 and 2,249.57

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Solution

The fourth proportional to 2,648.77, 3,646.96 and 2,249.57 is: 3,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.77 : 3,646.96 = 2,249.57 : x
  2. Step 2: Convert to fraction form
    2,648.77/3,646.96 = 2,249.57/x
  3. Step 3: Cross multiply
    2,648.77x = 3,646.96 × 2,249.57
  4. Step 4: Simplify right side
    2,648.77x = 8,204,095.30
  5. Step 5: Solve for x
    x = 8,204,095.30/2,648.77
  6. Step 6: Final answer
    x = 3,097.33

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Half scale
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Double scale
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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.