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Finding the Fourth Proportional to 1,922.13, 2,883.39 and 881.95

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Solution

The fourth proportional to 1,922.13, 2,883.39 and 881.95 is: 1,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.13 : 2,883.39 = 881.95 : x
  2. Step 2: Convert to fraction form
    1,922.13/2,883.39 = 881.95/x
  3. Step 3: Cross multiply
    1,922.13x = 2,883.39 × 881.95
  4. Step 4: Simplify right side
    1,922.13x = 2,543,005.81
  5. Step 5: Solve for x
    x = 2,543,005.81/1,922.13
  6. Step 6: Final answer
    x = 1,323.02

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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.