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Finding the Fourth Proportional to 3,685, 5,527.50 and 1,087.90

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Solution

The fourth proportional to 3,685, 5,527.50 and 1,087.90 is: 1,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685 : 5,527.50 = 1,087.90 : x
  2. Step 2: Convert to fraction form
    3,685/5,527.50 = 1,087.90/x
  3. Step 3: Cross multiply
    3,685x = 5,527.50 × 1,087.90
  4. Step 4: Simplify right side
    3,685x = 6,013,367.25
  5. Step 5: Solve for x
    x = 6,013,367.25/3,685
  6. Step 6: Final answer
    x = 1,631.85

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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.