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Finding the Fourth Proportional to 3,726.50, 5,586.50 and 1,419.62

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Solution

The fourth proportional to 3,726.50, 5,586.50 and 1,419.62 is: 2,128.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.50 : 5,586.50 = 1,419.62 : x
  2. Step 2: Convert to fraction form
    3,726.50/5,586.50 = 1,419.62/x
  3. Step 3: Cross multiply
    3,726.50x = 5,586.50 × 1,419.62
  4. Step 4: Simplify right side
    3,726.50x = 7,930,682.75
  5. Step 5: Solve for x
    x = 7,930,682.75/3,726.50
  6. Step 6: Final answer
    x = 2,128.19

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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.