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Finding the Fourth Proportional to 1,357.40, 1,874.14 and 1,264.39

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Solution

The fourth proportional to 1,357.40, 1,874.14 and 1,264.39 is: 1,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.40 : 1,874.14 = 1,264.39 : x
  2. Step 2: Convert to fraction form
    1,357.40/1,874.14 = 1,264.39/x
  3. Step 3: Cross multiply
    1,357.40x = 1,874.14 × 1,264.39
  4. Step 4: Simplify right side
    1,357.40x = 2,369,636.03
  5. Step 5: Solve for x
    x = 2,369,636.03/1,357.40
  6. Step 6: Final answer
    x = 1,745.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.