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Finding the Fourth Proportional to 2,521.09, 3,781.45 and 789.67

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Solution

The fourth proportional to 2,521.09, 3,781.45 and 789.67 is: 1,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.09 : 3,781.45 = 789.67 : x
  2. Step 2: Convert to fraction form
    2,521.09/3,781.45 = 789.67/x
  3. Step 3: Cross multiply
    2,521.09x = 3,781.45 × 789.67
  4. Step 4: Simplify right side
    2,521.09x = 2,986,097.62
  5. Step 5: Solve for x
    x = 2,986,097.62/2,521.09
  6. Step 6: Final answer
    x = 1,184.45

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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.