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Finding the Fourth Proportional to 1,849.95, 2,774.49 and 862.16

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Solution

The fourth proportional to 1,849.95, 2,774.49 and 862.16 is: 1,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.95 : 2,774.49 = 862.16 : x
  2. Step 2: Convert to fraction form
    1,849.95/2,774.49 = 862.16/x
  3. Step 3: Cross multiply
    1,849.95x = 2,774.49 × 862.16
  4. Step 4: Simplify right side
    1,849.95x = 2,392,040.43
  5. Step 5: Solve for x
    x = 2,392,040.43/1,849.95
  6. Step 6: Final answer
    x = 1,293.03

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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.