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Finding the Fourth Proportional to 2,597.51, 3,897 and 748.71

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Solution

The fourth proportional to 2,597.51, 3,897 and 748.71 is: 1,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.51 : 3,897 = 748.71 : x
  2. Step 2: Convert to fraction form
    2,597.51/3,897 = 748.71/x
  3. Step 3: Cross multiply
    2,597.51x = 3,897 × 748.71
  4. Step 4: Simplify right side
    2,597.51x = 2,917,722.87
  5. Step 5: Solve for x
    x = 2,917,722.87/2,597.51
  6. Step 6: Final answer
    x = 1,123.28

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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.