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Finding the Fourth Proportional to 3,624, 5,436.95 and 1,158.87

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Solution

The fourth proportional to 3,624, 5,436.95 and 1,158.87 is: 1,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,624 : 5,436.95 = 1,158.87 : x
  2. Step 2: Convert to fraction form
    3,624/5,436.95 = 1,158.87/x
  3. Step 3: Cross multiply
    3,624x = 5,436.95 × 1,158.87
  4. Step 4: Simplify right side
    3,624x = 6,300,718.25
  5. Step 5: Solve for x
    x = 6,300,718.25/3,624
  6. Step 6: Final answer
    x = 1,738.61

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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.