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Finding the Fourth Proportional to 1,418.63, 1,955.97 and 921.06

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Solution

The fourth proportional to 1,418.63, 1,955.97 and 921.06 is: 1,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.63 : 1,955.97 = 921.06 : x
  2. Step 2: Convert to fraction form
    1,418.63/1,955.97 = 921.06/x
  3. Step 3: Cross multiply
    1,418.63x = 1,955.97 × 921.06
  4. Step 4: Simplify right side
    1,418.63x = 1,801,565.73
  5. Step 5: Solve for x
    x = 1,801,565.73/1,418.63
  6. Step 6: Final answer
    x = 1,269.94

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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.