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Finding the Fourth Proportional to 3,747.80, 5,621.70 and 974.45

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Solution

The fourth proportional to 3,747.80, 5,621.70 and 974.45 is: 1,461.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.80 : 5,621.70 = 974.45 : x
  2. Step 2: Convert to fraction form
    3,747.80/5,621.70 = 974.45/x
  3. Step 3: Cross multiply
    3,747.80x = 5,621.70 × 974.45
  4. Step 4: Simplify right side
    3,747.80x = 5,478,065.57
  5. Step 5: Solve for x
    x = 5,478,065.57/3,747.80
  6. Step 6: Final answer
    x = 1,461.68

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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.