Home / 1,450.87-2,002.19-821.38

Finding the Fourth Proportional to 1,450.87, 2,002.19 and 821.38

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Solution

The fourth proportional to 1,450.87, 2,002.19 and 821.38 is: 1,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.87 : 2,002.19 = 821.38 : x
  2. Step 2: Convert to fraction form
    1,450.87/2,002.19 = 821.38/x
  3. Step 3: Cross multiply
    1,450.87x = 2,002.19 × 821.38
  4. Step 4: Simplify right side
    1,450.87x = 1,644,554.72
  5. Step 5: Solve for x
    x = 1,644,554.72/1,450.87
  6. Step 6: Final answer
    x = 1,133.50

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1.5x scale

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.