Home / 2,771.40-4,155.37-922.04

Finding the Fourth Proportional to 2,771.40, 4,155.37 and 922.04

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Solution

The fourth proportional to 2,771.40, 4,155.37 and 922.04 is: 1,382.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.40 : 4,155.37 = 922.04 : x
  2. Step 2: Convert to fraction form
    2,771.40/4,155.37 = 922.04/x
  3. Step 3: Cross multiply
    2,771.40x = 4,155.37 × 922.04
  4. Step 4: Simplify right side
    2,771.40x = 3,831,417.35
  5. Step 5: Solve for x
    x = 3,831,417.35/2,771.40
  6. Step 6: Final answer
    x = 1,382.48

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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.