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Finding the Fourth Proportional to 1,849.73, 2,774.58 and 876.51

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Solution

The fourth proportional to 1,849.73, 2,774.58 and 876.51 is: 1,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.73 : 2,774.58 = 876.51 : x
  2. Step 2: Convert to fraction form
    1,849.73/2,774.58 = 876.51/x
  3. Step 3: Cross multiply
    1,849.73x = 2,774.58 × 876.51
  4. Step 4: Simplify right side
    1,849.73x = 2,431,947.12
  5. Step 5: Solve for x
    x = 2,431,947.12/1,849.73
  6. Step 6: Final answer
    x = 1,314.76

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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.