Home / 2,371.77-3,557.31-811.71

Finding the Fourth Proportional to 2,371.77, 3,557.31 and 811.71

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Solution

The fourth proportional to 2,371.77, 3,557.31 and 811.71 is: 1,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.77 : 3,557.31 = 811.71 : x
  2. Step 2: Convert to fraction form
    2,371.77/3,557.31 = 811.71/x
  3. Step 3: Cross multiply
    2,371.77x = 3,557.31 × 811.71
  4. Step 4: Simplify right side
    2,371.77x = 2,887,504.10
  5. Step 5: Solve for x
    x = 2,887,504.10/2,371.77
  6. Step 6: Final answer
    x = 1,217.45

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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.