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Finding the Fourth Proportional to 3,458.16, 5,187.23 and 992.92

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Solution

The fourth proportional to 3,458.16, 5,187.23 and 992.92 is: 1,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.16 : 5,187.23 = 992.92 : x
  2. Step 2: Convert to fraction form
    3,458.16/5,187.23 = 992.92/x
  3. Step 3: Cross multiply
    3,458.16x = 5,187.23 × 992.92
  4. Step 4: Simplify right side
    3,458.16x = 5,150,504.41
  5. Step 5: Solve for x
    x = 5,150,504.41/3,458.16
  6. Step 6: Final answer
    x = 1,489.38

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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.