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Finding the Fourth Proportional to 1,334.82, 1,840.37 and 861.92

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Solution

The fourth proportional to 1,334.82, 1,840.37 and 861.92 is: 1,188.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.82 : 1,840.37 = 861.92 : x
  2. Step 2: Convert to fraction form
    1,334.82/1,840.37 = 861.92/x
  3. Step 3: Cross multiply
    1,334.82x = 1,840.37 × 861.92
  4. Step 4: Simplify right side
    1,334.82x = 1,586,238.20
  5. Step 5: Solve for x
    x = 1,586,238.20/1,334.82
  6. Step 6: Final answer
    x = 1,188.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.