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Finding the Fourth Proportional to 3,872.61, 5,809.29 and 1,240.20

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Solution

The fourth proportional to 3,872.61, 5,809.29 and 1,240.20 is: 1,860.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.61 : 5,809.29 = 1,240.20 : x
  2. Step 2: Convert to fraction form
    3,872.61/5,809.29 = 1,240.20/x
  3. Step 3: Cross multiply
    3,872.61x = 5,809.29 × 1,240.20
  4. Step 4: Simplify right side
    3,872.61x = 7,204,681.46
  5. Step 5: Solve for x
    x = 7,204,681.46/3,872.61
  6. Step 6: Final answer
    x = 1,860.42

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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.