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Finding the Fourth Proportional to 3,578.38, 4,938.17 and 2,006.51

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Solution

The fourth proportional to 3,578.38, 4,938.17 and 2,006.51 is: 2,768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.38 : 4,938.17 = 2,006.51 : x
  2. Step 2: Convert to fraction form
    3,578.38/4,938.17 = 2,006.51/x
  3. Step 3: Cross multiply
    3,578.38x = 4,938.17 × 2,006.51
  4. Step 4: Simplify right side
    3,578.38x = 9,908,452.76
  5. Step 5: Solve for x
    x = 9,908,452.76/3,578.38
  6. Step 6: Final answer
    x = 2,768.98

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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.