Home / 1,922.67-2,653.47-1,224

Finding the Fourth Proportional to 1,922.67, 2,653.47 and 1,224

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Solution

The fourth proportional to 1,922.67, 2,653.47 and 1,224 is: 1,689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.67 : 2,653.47 = 1,224 : x
  2. Step 2: Convert to fraction form
    1,922.67/2,653.47 = 1,224/x
  3. Step 3: Cross multiply
    1,922.67x = 2,653.47 × 1,224
  4. Step 4: Simplify right side
    1,922.67x = 3,247,847.28
  5. Step 5: Solve for x
    x = 3,247,847.28/1,922.67
  6. Step 6: Final answer
    x = 1,689.24

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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.