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Finding the Fourth Proportional to 3,135.33, 4,703.13 and 1,187.67

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Solution

The fourth proportional to 3,135.33, 4,703.13 and 1,187.67 is: 1,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.33 : 4,703.13 = 1,187.67 : x
  2. Step 2: Convert to fraction form
    3,135.33/4,703.13 = 1,187.67/x
  3. Step 3: Cross multiply
    3,135.33x = 4,703.13 × 1,187.67
  4. Step 4: Simplify right side
    3,135.33x = 5,585,766.41
  5. Step 5: Solve for x
    x = 5,585,766.41/3,135.33
  6. Step 6: Final answer
    x = 1,781.56

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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.