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Finding the Fourth Proportional to 1,460.82, 2,191.84 and 876.95

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Solution

The fourth proportional to 1,460.82, 2,191.84 and 876.95 is: 1,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.82 : 2,191.84 = 876.95 : x
  2. Step 2: Convert to fraction form
    1,460.82/2,191.84 = 876.95/x
  3. Step 3: Cross multiply
    1,460.82x = 2,191.84 × 876.95
  4. Step 4: Simplify right side
    1,460.82x = 1,922,134.09
  5. Step 5: Solve for x
    x = 1,922,134.09/1,460.82
  6. Step 6: Final answer
    x = 1,315.79

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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.