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Finding the Fourth Proportional to 3,522.68, 5,283.90 and 1,057.40

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Solution

The fourth proportional to 3,522.68, 5,283.90 and 1,057.40 is: 1,586.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.68 : 5,283.90 = 1,057.40 : x
  2. Step 2: Convert to fraction form
    3,522.68/5,283.90 = 1,057.40/x
  3. Step 3: Cross multiply
    3,522.68x = 5,283.90 × 1,057.40
  4. Step 4: Simplify right side
    3,522.68x = 5,587,195.86
  5. Step 5: Solve for x
    x = 5,587,195.86/3,522.68
  6. Step 6: Final answer
    x = 1,586.06

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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.