Home / 1,401.88-2,102.28-427.72

Finding the Fourth Proportional to 1,401.88, 2,102.28 and 427.72

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Solution

The fourth proportional to 1,401.88, 2,102.28 and 427.72 is: 641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.88 : 2,102.28 = 427.72 : x
  2. Step 2: Convert to fraction form
    1,401.88/2,102.28 = 427.72/x
  3. Step 3: Cross multiply
    1,401.88x = 2,102.28 × 427.72
  4. Step 4: Simplify right side
    1,401.88x = 899,187.20
  5. Step 5: Solve for x
    x = 899,187.20/1,401.88
  6. Step 6: Final answer
    x = 641.42

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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.