Home / 2,014.24-3,021.32-987.52

Finding the Fourth Proportional to 2,014.24, 3,021.32 and 987.52

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Solution

The fourth proportional to 2,014.24, 3,021.32 and 987.52 is: 1,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.24 : 3,021.32 = 987.52 : x
  2. Step 2: Convert to fraction form
    2,014.24/3,021.32 = 987.52/x
  3. Step 3: Cross multiply
    2,014.24x = 3,021.32 × 987.52
  4. Step 4: Simplify right side
    2,014.24x = 2,983,613.93
  5. Step 5: Solve for x
    x = 2,983,613.93/2,014.24
  6. Step 6: Final answer
    x = 1,481.26

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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.