Home / 1,502.06-2,253.08-1,422.09

Finding the Fourth Proportional to 1,502.06, 2,253.08 and 1,422.09

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Solution

The fourth proportional to 1,502.06, 2,253.08 and 1,422.09 is: 2,133.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.06 : 2,253.08 = 1,422.09 : x
  2. Step 2: Convert to fraction form
    1,502.06/2,253.08 = 1,422.09/x
  3. Step 3: Cross multiply
    1,502.06x = 2,253.08 × 1,422.09
  4. Step 4: Simplify right side
    1,502.06x = 3,204,086.09
  5. Step 5: Solve for x
    x = 3,204,086.09/1,502.06
  6. Step 6: Final answer
    x = 2,133.14

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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.