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Finding the Fourth Proportional to 2,087.80, 3,129.81 and 788.92

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Solution

The fourth proportional to 2,087.80, 3,129.81 and 788.92 is: 1,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.80 : 3,129.81 = 788.92 : x
  2. Step 2: Convert to fraction form
    2,087.80/3,129.81 = 788.92/x
  3. Step 3: Cross multiply
    2,087.80x = 3,129.81 × 788.92
  4. Step 4: Simplify right side
    2,087.80x = 2,469,169.71
  5. Step 5: Solve for x
    x = 2,469,169.71/2,087.80
  6. Step 6: Final answer
    x = 1,182.67

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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.