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Finding the Fourth Proportional to 1,335.57, 1,993.16 and 1,189.77

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Solution

The fourth proportional to 1,335.57, 1,993.16 and 1,189.77 is: 1,775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.57 : 1,993.16 = 1,189.77 : x
  2. Step 2: Convert to fraction form
    1,335.57/1,993.16 = 1,189.77/x
  3. Step 3: Cross multiply
    1,335.57x = 1,993.16 × 1,189.77
  4. Step 4: Simplify right side
    1,335.57x = 2,371,396.02
  5. Step 5: Solve for x
    x = 2,371,396.02/1,335.57
  6. Step 6: Final answer
    x = 1,775.57

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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.