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Finding the Fourth Proportional to 1,927.97, 2,891.95 and 467.12

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Solution

The fourth proportional to 1,927.97, 2,891.95 and 467.12 is: 700.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.97 : 2,891.95 = 467.12 : x
  2. Step 2: Convert to fraction form
    1,927.97/2,891.95 = 467.12/x
  3. Step 3: Cross multiply
    1,927.97x = 2,891.95 × 467.12
  4. Step 4: Simplify right side
    1,927.97x = 1,350,887.68
  5. Step 5: Solve for x
    x = 1,350,887.68/1,927.97
  6. Step 6: Final answer
    x = 700.68

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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.