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Finding the Fourth Proportional to 2,597.35, 3,894.85 and 748.06

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Solution

The fourth proportional to 2,597.35, 3,894.85 and 748.06 is: 1,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.35 : 3,894.85 = 748.06 : x
  2. Step 2: Convert to fraction form
    2,597.35/3,894.85 = 748.06/x
  3. Step 3: Cross multiply
    2,597.35x = 3,894.85 × 748.06
  4. Step 4: Simplify right side
    2,597.35x = 2,913,581.49
  5. Step 5: Solve for x
    x = 2,913,581.49/2,597.35
  6. Step 6: Final answer
    x = 1,121.75

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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.