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Finding the Fourth Proportional to 3,458.43, 5,187.74 and 993.15

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Solution

The fourth proportional to 3,458.43, 5,187.74 and 993.15 is: 1,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.43 : 5,187.74 = 993.15 : x
  2. Step 2: Convert to fraction form
    3,458.43/5,187.74 = 993.15/x
  3. Step 3: Cross multiply
    3,458.43x = 5,187.74 × 993.15
  4. Step 4: Simplify right side
    3,458.43x = 5,152,199.02
  5. Step 5: Solve for x
    x = 5,152,199.02/3,458.43
  6. Step 6: Final answer
    x = 1,489.75

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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.