Home / 1,006.14-1,511.26-821.34

Finding the Fourth Proportional to 1,006.14, 1,511.26 and 821.34

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Solution

The fourth proportional to 1,006.14, 1,511.26 and 821.34 is: 1,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.14 : 1,511.26 = 821.34 : x
  2. Step 2: Convert to fraction form
    1,006.14/1,511.26 = 821.34/x
  3. Step 3: Cross multiply
    1,006.14x = 1,511.26 × 821.34
  4. Step 4: Simplify right side
    1,006.14x = 1,241,258.29
  5. Step 5: Solve for x
    x = 1,241,258.29/1,006.14
  6. Step 6: Final answer
    x = 1,233.68

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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.