Home / 1,388.32-2,083.14-811.24

Finding the Fourth Proportional to 1,388.32, 2,083.14 and 811.24

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Solution

The fourth proportional to 1,388.32, 2,083.14 and 811.24 is: 1,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.32 : 2,083.14 = 811.24 : x
  2. Step 2: Convert to fraction form
    1,388.32/2,083.14 = 811.24/x
  3. Step 3: Cross multiply
    1,388.32x = 2,083.14 × 811.24
  4. Step 4: Simplify right side
    1,388.32x = 1,689,926.49
  5. Step 5: Solve for x
    x = 1,689,926.49/1,388.32
  6. Step 6: Final answer
    x = 1,217.25

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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.