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Finding the Fourth Proportional to 3,473.74, 5,209.68 and 974.78

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Solution

The fourth proportional to 3,473.74, 5,209.68 and 974.78 is: 1,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.74 : 5,209.68 = 974.78 : x
  2. Step 2: Convert to fraction form
    3,473.74/5,209.68 = 974.78/x
  3. Step 3: Cross multiply
    3,473.74x = 5,209.68 × 974.78
  4. Step 4: Simplify right side
    3,473.74x = 5,078,291.87
  5. Step 5: Solve for x
    x = 5,078,291.87/3,473.74
  6. Step 6: Final answer
    x = 1,461.91

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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.