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Finding the Fourth Proportional to 2,865.39, 4,299.42 and 891.32

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Solution

The fourth proportional to 2,865.39, 4,299.42 and 891.32 is: 1,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.39 : 4,299.42 = 891.32 : x
  2. Step 2: Convert to fraction form
    2,865.39/4,299.42 = 891.32/x
  3. Step 3: Cross multiply
    2,865.39x = 4,299.42 × 891.32
  4. Step 4: Simplify right side
    2,865.39x = 3,832,140.88
  5. Step 5: Solve for x
    x = 3,832,140.88/2,865.39
  6. Step 6: Final answer
    x = 1,337.39

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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.