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Finding the Fourth Proportional to 2,283, 3,150.56 and 1,338.81

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Solution

The fourth proportional to 2,283, 3,150.56 and 1,338.81 is: 1,847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283 : 3,150.56 = 1,338.81 : x
  2. Step 2: Convert to fraction form
    2,283/3,150.56 = 1,338.81/x
  3. Step 3: Cross multiply
    2,283x = 3,150.56 × 1,338.81
  4. Step 4: Simplify right side
    2,283x = 4,218,001.23
  5. Step 5: Solve for x
    x = 4,218,001.23/2,283
  6. Step 6: Final answer
    x = 1,847.57

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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.