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Finding the Fourth Proportional to 1,894.66, 2,842.39 and 921.31

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Solution

The fourth proportional to 1,894.66, 2,842.39 and 921.31 is: 1,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.66 : 2,842.39 = 921.31 : x
  2. Step 2: Convert to fraction form
    1,894.66/2,842.39 = 921.31/x
  3. Step 3: Cross multiply
    1,894.66x = 2,842.39 × 921.31
  4. Step 4: Simplify right side
    1,894.66x = 2,618,716.38
  5. Step 5: Solve for x
    x = 2,618,716.38/1,894.66
  6. Step 6: Final answer
    x = 1,382.16

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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.