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Finding the Fourth Proportional to 3,143.61, 4,715.42 and 1,388.24

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Solution

The fourth proportional to 3,143.61, 4,715.42 and 1,388.24 is: 2,082.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.61 : 4,715.42 = 1,388.24 : x
  2. Step 2: Convert to fraction form
    3,143.61/4,715.42 = 1,388.24/x
  3. Step 3: Cross multiply
    3,143.61x = 4,715.42 × 1,388.24
  4. Step 4: Simplify right side
    3,143.61x = 6,546,121.83
  5. Step 5: Solve for x
    x = 6,546,121.83/3,143.61
  6. Step 6: Final answer
    x = 2,082.36

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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.