Home / 1,982.40-2,969.28-1,656.78

Finding the Fourth Proportional to 1,982.40, 2,969.28 and 1,656.78

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Solution

The fourth proportional to 1,982.40, 2,969.28 and 1,656.78 is: 2,481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.40 : 2,969.28 = 1,656.78 : x
  2. Step 2: Convert to fraction form
    1,982.40/2,969.28 = 1,656.78/x
  3. Step 3: Cross multiply
    1,982.40x = 2,969.28 × 1,656.78
  4. Step 4: Simplify right side
    1,982.40x = 4,919,443.72
  5. Step 5: Solve for x
    x = 4,919,443.72/1,982.40
  6. Step 6: Final answer
    x = 2,481.56

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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.