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Finding the Fourth Proportional to 2,585.80, 3,878.40 and 737.20

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Solution

The fourth proportional to 2,585.80, 3,878.40 and 737.20 is: 1,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.80 : 3,878.40 = 737.20 : x
  2. Step 2: Convert to fraction form
    2,585.80/3,878.40 = 737.20/x
  3. Step 3: Cross multiply
    2,585.80x = 3,878.40 × 737.20
  4. Step 4: Simplify right side
    2,585.80x = 2,859,156.48
  5. Step 5: Solve for x
    x = 2,859,156.48/2,585.80
  6. Step 6: Final answer
    x = 1,105.71

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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.