Home / 1,954.13-2,924.19-1,823.78

Finding the Fourth Proportional to 1,954.13, 2,924.19 and 1,823.78

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Solution

The fourth proportional to 1,954.13, 2,924.19 and 1,823.78 is: 2,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.13 : 2,924.19 = 1,823.78 : x
  2. Step 2: Convert to fraction form
    1,954.13/2,924.19 = 1,823.78/x
  3. Step 3: Cross multiply
    1,954.13x = 2,924.19 × 1,823.78
  4. Step 4: Simplify right side
    1,954.13x = 5,333,064.62
  5. Step 5: Solve for x
    x = 5,333,064.62/1,954.13
  6. Step 6: Final answer
    x = 2,729.13

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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.