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Finding the Fourth Proportional to 2,331.99, 3,498.21 and 851.61

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Solution

The fourth proportional to 2,331.99, 3,498.21 and 851.61 is: 1,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.99 : 3,498.21 = 851.61 : x
  2. Step 2: Convert to fraction form
    2,331.99/3,498.21 = 851.61/x
  3. Step 3: Cross multiply
    2,331.99x = 3,498.21 × 851.61
  4. Step 4: Simplify right side
    2,331.99x = 2,979,110.62
  5. Step 5: Solve for x
    x = 2,979,110.62/2,331.99
  6. Step 6: Final answer
    x = 1,277.50

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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.