Home / 1,324.41-1,987.53-1,314.16

Finding the Fourth Proportional to 1,324.41, 1,987.53 and 1,314.16

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Solution

The fourth proportional to 1,324.41, 1,987.53 and 1,314.16 is: 1,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.41 : 1,987.53 = 1,314.16 : x
  2. Step 2: Convert to fraction form
    1,324.41/1,987.53 = 1,314.16/x
  3. Step 3: Cross multiply
    1,324.41x = 1,987.53 × 1,314.16
  4. Step 4: Simplify right side
    1,324.41x = 2,611,932.42
  5. Step 5: Solve for x
    x = 2,611,932.42/1,324.41
  6. Step 6: Final answer
    x = 1,972.15

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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.