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Finding the Fourth Proportional to 1,920.50, 2,882.10 and 766.52

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Solution

The fourth proportional to 1,920.50, 2,882.10 and 766.52 is: 1,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.50 : 2,882.10 = 766.52 : x
  2. Step 2: Convert to fraction form
    1,920.50/2,882.10 = 766.52/x
  3. Step 3: Cross multiply
    1,920.50x = 2,882.10 × 766.52
  4. Step 4: Simplify right side
    1,920.50x = 2,209,187.29
  5. Step 5: Solve for x
    x = 2,209,187.29/1,920.50
  6. Step 6: Final answer
    x = 1,150.32

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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.