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Finding the Fourth Proportional to 3,458.80, 5,189.06 and 993.79

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Solution

The fourth proportional to 3,458.80, 5,189.06 and 993.79 is: 1,490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.80 : 5,189.06 = 993.79 : x
  2. Step 2: Convert to fraction form
    3,458.80/5,189.06 = 993.79/x
  3. Step 3: Cross multiply
    3,458.80x = 5,189.06 × 993.79
  4. Step 4: Simplify right side
    3,458.80x = 5,156,815.72
  5. Step 5: Solve for x
    x = 5,156,815.72/3,458.80
  6. Step 6: Final answer
    x = 1,490.93

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1.5x scale

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.