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Finding the Fourth Proportional to 3,005.92, 4,508.82 and 925.78

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Solution

The fourth proportional to 3,005.92, 4,508.82 and 925.78 is: 1,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.92 : 4,508.82 = 925.78 : x
  2. Step 2: Convert to fraction form
    3,005.92/4,508.82 = 925.78/x
  3. Step 3: Cross multiply
    3,005.92x = 4,508.82 × 925.78
  4. Step 4: Simplify right side
    3,005.92x = 4,174,175.38
  5. Step 5: Solve for x
    x = 4,174,175.38/3,005.92
  6. Step 6: Final answer
    x = 1,388.65

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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.