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Finding the Fourth Proportional to 2,021.16, 3,031.76 and 925.24

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Solution

The fourth proportional to 2,021.16, 3,031.76 and 925.24 is: 1,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.16 : 3,031.76 = 925.24 : x
  2. Step 2: Convert to fraction form
    2,021.16/3,031.76 = 925.24/x
  3. Step 3: Cross multiply
    2,021.16x = 3,031.76 × 925.24
  4. Step 4: Simplify right side
    2,021.16x = 2,805,105.62
  5. Step 5: Solve for x
    x = 2,805,105.62/2,021.16
  6. Step 6: Final answer
    x = 1,387.87

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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.