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Finding the Fourth Proportional to 5,646.38, 7,791.79 and 3,256.45

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Solution

The fourth proportional to 5,646.38, 7,791.79 and 3,256.45 is: 4,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.38 : 7,791.79 = 3,256.45 : x
  2. Step 2: Convert to fraction form
    5,646.38/7,791.79 = 3,256.45/x
  3. Step 3: Cross multiply
    5,646.38x = 7,791.79 × 3,256.45
  4. Step 4: Simplify right side
    5,646.38x = 25,373,519.30
  5. Step 5: Solve for x
    x = 25,373,519.30/5,646.38
  6. Step 6: Final answer
    x = 4,493.77

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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.