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Finding the Fourth Proportional to 2,856.80, 4,287.68 and 1,626.68

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Solution

The fourth proportional to 2,856.80, 4,287.68 and 1,626.68 is: 2,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.80 : 4,287.68 = 1,626.68 : x
  2. Step 2: Convert to fraction form
    2,856.80/4,287.68 = 1,626.68/x
  3. Step 3: Cross multiply
    2,856.80x = 4,287.68 × 1,626.68
  4. Step 4: Simplify right side
    2,856.80x = 6,974,683.30
  5. Step 5: Solve for x
    x = 6,974,683.30/2,856.80
  6. Step 6: Final answer
    x = 2,441.43

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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.