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Finding the Fourth Proportional to 3,687.90, 5,527.68 and 1,604.78

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Solution

The fourth proportional to 3,687.90, 5,527.68 and 1,604.78 is: 2,405.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.90 : 5,527.68 = 1,604.78 : x
  2. Step 2: Convert to fraction form
    3,687.90/5,527.68 = 1,604.78/x
  3. Step 3: Cross multiply
    3,687.90x = 5,527.68 × 1,604.78
  4. Step 4: Simplify right side
    3,687.90x = 8,870,710.31
  5. Step 5: Solve for x
    x = 8,870,710.31/3,687.90
  6. Step 6: Final answer
    x = 2,405.36

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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.