Home / 1,552.09-2,140.92-922.19

Finding the Fourth Proportional to 1,552.09, 2,140.92 and 922.19

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Solution

The fourth proportional to 1,552.09, 2,140.92 and 922.19 is: 1,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.09 : 2,140.92 = 922.19 : x
  2. Step 2: Convert to fraction form
    1,552.09/2,140.92 = 922.19/x
  3. Step 3: Cross multiply
    1,552.09x = 2,140.92 × 922.19
  4. Step 4: Simplify right side
    1,552.09x = 1,974,328.85
  5. Step 5: Solve for x
    x = 1,974,328.85/1,552.09
  6. Step 6: Final answer
    x = 1,272.05

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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.