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Finding the Fourth Proportional to 1,920.61, 2,882.53 and 767.17

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Solution

The fourth proportional to 1,920.61, 2,882.53 and 767.17 is: 1,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.61 : 2,882.53 = 767.17 : x
  2. Step 2: Convert to fraction form
    1,920.61/2,882.53 = 767.17/x
  3. Step 3: Cross multiply
    1,920.61x = 2,882.53 × 767.17
  4. Step 4: Simplify right side
    1,920.61x = 2,211,376.13
  5. Step 5: Solve for x
    x = 2,211,376.13/1,920.61
  6. Step 6: Final answer
    x = 1,151.40

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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.