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Finding the Fourth Proportional to 1,335.72, 1,993.28 and 1,173.74

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Solution

The fourth proportional to 1,335.72, 1,993.28 and 1,173.74 is: 1,751.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.72 : 1,993.28 = 1,173.74 : x
  2. Step 2: Convert to fraction form
    1,335.72/1,993.28 = 1,173.74/x
  3. Step 3: Cross multiply
    1,335.72x = 1,993.28 × 1,173.74
  4. Step 4: Simplify right side
    1,335.72x = 2,339,587.84
  5. Step 5: Solve for x
    x = 2,339,587.84/1,335.72
  6. Step 6: Final answer
    x = 1,751.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.