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Finding the Fourth Proportional to 2,597.47, 3,895.70 and 748.51

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Solution

The fourth proportional to 2,597.47, 3,895.70 and 748.51 is: 1,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.47 : 3,895.70 = 748.51 : x
  2. Step 2: Convert to fraction form
    2,597.47/3,895.70 = 748.51/x
  3. Step 3: Cross multiply
    2,597.47x = 3,895.70 × 748.51
  4. Step 4: Simplify right side
    2,597.47x = 2,915,956.93
  5. Step 5: Solve for x
    x = 2,915,956.93/2,597.47
  6. Step 6: Final answer
    x = 1,122.62

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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.