Home / 1,402.27-2,101.44-816.91

Finding the Fourth Proportional to 1,402.27, 2,101.44 and 816.91

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Solution

The fourth proportional to 1,402.27, 2,101.44 and 816.91 is: 1,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.27 : 2,101.44 = 816.91 : x
  2. Step 2: Convert to fraction form
    1,402.27/2,101.44 = 816.91/x
  3. Step 3: Cross multiply
    1,402.27x = 2,101.44 × 816.91
  4. Step 4: Simplify right side
    1,402.27x = 1,716,687.35
  5. Step 5: Solve for x
    x = 1,716,687.35/1,402.27
  6. Step 6: Final answer
    x = 1,224.22

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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.