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Finding the Fourth Proportional to 1,954.78, 2,932.15 and 800.53

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Solution

The fourth proportional to 1,954.78, 2,932.15 and 800.53 is: 1,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.78 : 2,932.15 = 800.53 : x
  2. Step 2: Convert to fraction form
    1,954.78/2,932.15 = 800.53/x
  3. Step 3: Cross multiply
    1,954.78x = 2,932.15 × 800.53
  4. Step 4: Simplify right side
    1,954.78x = 2,347,274.04
  5. Step 5: Solve for x
    x = 2,347,274.04/1,954.78
  6. Step 6: Final answer
    x = 1,200.79

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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.