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Finding the Fourth Proportional to 1,418.20, 1,956.43 and 921.00

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Solution

The fourth proportional to 1,418.20, 1,956.43 and 921.00 is: 1,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.20 : 1,956.43 = 921.00 : x
  2. Step 2: Convert to fraction form
    1,418.20/1,956.43 = 921.00/x
  3. Step 3: Cross multiply
    1,418.20x = 1,956.43 × 921.00
  4. Step 4: Simplify right side
    1,418.20x = 1,801,862.25
  5. Step 5: Solve for x
    x = 1,801,862.25/1,418.20
  6. Step 6: Final answer
    x = 1,270.53

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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.