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Finding the Fourth Proportional to 2,378.40, 3,567.99 and 734.57

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Solution

The fourth proportional to 2,378.40, 3,567.99 and 734.57 is: 1,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.40 : 3,567.99 = 734.57 : x
  2. Step 2: Convert to fraction form
    2,378.40/3,567.99 = 734.57/x
  3. Step 3: Cross multiply
    2,378.40x = 3,567.99 × 734.57
  4. Step 4: Simplify right side
    2,378.40x = 2,620,916.90
  5. Step 5: Solve for x
    x = 2,620,916.90/2,378.40
  6. Step 6: Final answer
    x = 1,101.97

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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.