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Finding the Fourth Proportional to 2,438.14, 3,657.24 and 878.22

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Solution

The fourth proportional to 2,438.14, 3,657.24 and 878.22 is: 1,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.14 : 3,657.24 = 878.22 : x
  2. Step 2: Convert to fraction form
    2,438.14/3,657.24 = 878.22/x
  3. Step 3: Cross multiply
    2,438.14x = 3,657.24 × 878.22
  4. Step 4: Simplify right side
    2,438.14x = 3,211,861.31
  5. Step 5: Solve for x
    x = 3,211,861.31/2,438.14
  6. Step 6: Final answer
    x = 1,317.34

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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.