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Finding the Fourth Proportional to 2,521.52, 3,782.68 and 789.76

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Solution

The fourth proportional to 2,521.52, 3,782.68 and 789.76 is: 1,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.52 : 3,782.68 = 789.76 : x
  2. Step 2: Convert to fraction form
    2,521.52/3,782.68 = 789.76/x
  3. Step 3: Cross multiply
    2,521.52x = 3,782.68 × 789.76
  4. Step 4: Simplify right side
    2,521.52x = 2,987,409.36
  5. Step 5: Solve for x
    x = 2,987,409.36/2,521.52
  6. Step 6: Final answer
    x = 1,184.77

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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.