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Finding the Fourth Proportional to 1,927.40, 2,891.10 and 695.19

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Solution

The fourth proportional to 1,927.40, 2,891.10 and 695.19 is: 1,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.40 : 2,891.10 = 695.19 : x
  2. Step 2: Convert to fraction form
    1,927.40/2,891.10 = 695.19/x
  3. Step 3: Cross multiply
    1,927.40x = 2,891.10 × 695.19
  4. Step 4: Simplify right side
    1,927.40x = 2,009,856.58
  5. Step 5: Solve for x
    x = 2,009,856.58/1,927.40
  6. Step 6: Final answer
    x = 1,042.78

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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.