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Finding the Fourth Proportional to 2,712.78, 4,069.29 and 980.94

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Solution

The fourth proportional to 2,712.78, 4,069.29 and 980.94 is: 1,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.78 : 4,069.29 = 980.94 : x
  2. Step 2: Convert to fraction form
    2,712.78/4,069.29 = 980.94/x
  3. Step 3: Cross multiply
    2,712.78x = 4,069.29 × 980.94
  4. Step 4: Simplify right side
    2,712.78x = 3,991,729.33
  5. Step 5: Solve for x
    x = 3,991,729.33/2,712.78
  6. Step 6: Final answer
    x = 1,471.45

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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.