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Finding the Fourth Proportional to 3,726.60, 5,585.10 and 2,856.60

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Solution

The fourth proportional to 3,726.60, 5,585.10 and 2,856.60 is: 4,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.60 : 5,585.10 = 2,856.60 : x
  2. Step 2: Convert to fraction form
    3,726.60/5,585.10 = 2,856.60/x
  3. Step 3: Cross multiply
    3,726.60x = 5,585.10 × 2,856.60
  4. Step 4: Simplify right side
    3,726.60x = 15,954,396.66
  5. Step 5: Solve for x
    x = 15,954,396.66/3,726.60
  6. Step 6: Final answer
    x = 4,281.22

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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.