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Finding the Fourth Proportional to 3,589.88, 5,385 and 1,124.70

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Solution

The fourth proportional to 3,589.88, 5,385 and 1,124.70 is: 1,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.88 : 5,385 = 1,124.70 : x
  2. Step 2: Convert to fraction form
    3,589.88/5,385 = 1,124.70/x
  3. Step 3: Cross multiply
    3,589.88x = 5,385 × 1,124.70
  4. Step 4: Simplify right side
    3,589.88x = 6,056,509.50
  5. Step 5: Solve for x
    x = 6,056,509.50/3,589.88
  6. Step 6: Final answer
    x = 1,687.11

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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.