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Finding the Fourth Proportional to 3,586.66, 5,380.01 and 1,637.50

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Solution

The fourth proportional to 3,586.66, 5,380.01 and 1,637.50 is: 2,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.66 : 5,380.01 = 1,637.50 : x
  2. Step 2: Convert to fraction form
    3,586.66/5,380.01 = 1,637.50/x
  3. Step 3: Cross multiply
    3,586.66x = 5,380.01 × 1,637.50
  4. Step 4: Simplify right side
    3,586.66x = 8,809,766.38
  5. Step 5: Solve for x
    x = 8,809,766.38/3,586.66
  6. Step 6: Final answer
    x = 2,456.26

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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.