Home / 1,386.50-1,912.68-826.80

Finding the Fourth Proportional to 1,386.50, 1,912.68 and 826.80

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Solution

The fourth proportional to 1,386.50, 1,912.68 and 826.80 is: 1,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.50 : 1,912.68 = 826.80 : x
  2. Step 2: Convert to fraction form
    1,386.50/1,912.68 = 826.80/x
  3. Step 3: Cross multiply
    1,386.50x = 1,912.68 × 826.80
  4. Step 4: Simplify right side
    1,386.50x = 1,581,403.82
  5. Step 5: Solve for x
    x = 1,581,403.82/1,386.50
  6. Step 6: Final answer
    x = 1,140.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.