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Finding the Fourth Proportional to 2,159.82, 3,237.55 and 842.76

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Solution

The fourth proportional to 2,159.82, 3,237.55 and 842.76 is: 1,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.82 : 3,237.55 = 842.76 : x
  2. Step 2: Convert to fraction form
    2,159.82/3,237.55 = 842.76/x
  3. Step 3: Cross multiply
    2,159.82x = 3,237.55 × 842.76
  4. Step 4: Simplify right side
    2,159.82x = 2,728,475.53
  5. Step 5: Solve for x
    x = 2,728,475.53/2,159.82
  6. Step 6: Final answer
    x = 1,263.29

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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.