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Finding the Fourth Proportional to 3,721.05, 5,581.61 and 947.73

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Solution

The fourth proportional to 3,721.05, 5,581.61 and 947.73 is: 1,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,721.05 : 5,581.61 = 947.73 : x
  2. Step 2: Convert to fraction form
    3,721.05/5,581.61 = 947.73/x
  3. Step 3: Cross multiply
    3,721.05x = 5,581.61 × 947.73
  4. Step 4: Simplify right side
    3,721.05x = 5,289,861.61
  5. Step 5: Solve for x
    x = 5,289,861.61/3,721.05
  6. Step 6: Final answer
    x = 1,421.60

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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.