Home / 1,371.75-2,058.84-824.19

Finding the Fourth Proportional to 1,371.75, 2,058.84 and 824.19

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Solution

The fourth proportional to 1,371.75, 2,058.84 and 824.19 is: 1,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.75 : 2,058.84 = 824.19 : x
  2. Step 2: Convert to fraction form
    1,371.75/2,058.84 = 824.19/x
  3. Step 3: Cross multiply
    1,371.75x = 2,058.84 × 824.19
  4. Step 4: Simplify right side
    1,371.75x = 1,696,875.34
  5. Step 5: Solve for x
    x = 1,696,875.34/1,371.75
  6. Step 6: Final answer
    x = 1,237.02

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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.