Home / 2,922.24-4,032.24-1,680

Finding the Fourth Proportional to 2,922.24, 4,032.24 and 1,680

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Solution

The fourth proportional to 2,922.24, 4,032.24 and 1,680 is: 2,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.24 : 4,032.24 = 1,680 : x
  2. Step 2: Convert to fraction form
    2,922.24/4,032.24 = 1,680/x
  3. Step 3: Cross multiply
    2,922.24x = 4,032.24 × 1,680
  4. Step 4: Simplify right side
    2,922.24x = 6,774,163.20
  5. Step 5: Solve for x
    x = 6,774,163.20/2,922.24
  6. Step 6: Final answer
    x = 2,318.14

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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.