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Finding the Fourth Proportional to 1,922.77, 2,882.45 and 751.95

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Solution

The fourth proportional to 1,922.77, 2,882.45 and 751.95 is: 1,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.77 : 2,882.45 = 751.95 : x
  2. Step 2: Convert to fraction form
    1,922.77/2,882.45 = 751.95/x
  3. Step 3: Cross multiply
    1,922.77x = 2,882.45 × 751.95
  4. Step 4: Simplify right side
    1,922.77x = 2,167,458.28
  5. Step 5: Solve for x
    x = 2,167,458.28/1,922.77
  6. Step 6: Final answer
    x = 1,127.26

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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.