Home / 1,552.21-2,141.98-922.80

Finding the Fourth Proportional to 1,552.21, 2,141.98 and 922.80

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Solution

The fourth proportional to 1,552.21, 2,141.98 and 922.80 is: 1,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.21 : 2,141.98 = 922.80 : x
  2. Step 2: Convert to fraction form
    1,552.21/2,141.98 = 922.80/x
  3. Step 3: Cross multiply
    1,552.21x = 2,141.98 × 922.80
  4. Step 4: Simplify right side
    1,552.21x = 1,976,619.14
  5. Step 5: Solve for x
    x = 1,976,619.14/1,552.21
  6. Step 6: Final answer
    x = 1,273.42

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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.