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Finding the Fourth Proportional to 2,597.15, 3,895.17 and 748.40

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Solution

The fourth proportional to 2,597.15, 3,895.17 and 748.40 is: 1,122.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.15 : 3,895.17 = 748.40 : x
  2. Step 2: Convert to fraction form
    2,597.15/3,895.17 = 748.40/x
  3. Step 3: Cross multiply
    2,597.15x = 3,895.17 × 748.40
  4. Step 4: Simplify right side
    2,597.15x = 2,915,125.75
  5. Step 5: Solve for x
    x = 2,915,125.75/2,597.15
  6. Step 6: Final answer
    x = 1,122.43

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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.