Home / 2,021.48-3,031.26-653.16

Finding the Fourth Proportional to 2,021.48, 3,031.26 and 653.16

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Solution

The fourth proportional to 2,021.48, 3,031.26 and 653.16 is: 979.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.48 : 3,031.26 = 653.16 : x
  2. Step 2: Convert to fraction form
    2,021.48/3,031.26 = 653.16/x
  3. Step 3: Cross multiply
    2,021.48x = 3,031.26 × 653.16
  4. Step 4: Simplify right side
    2,021.48x = 1,979,897.78
  5. Step 5: Solve for x
    x = 1,979,897.78/2,021.48
  6. Step 6: Final answer
    x = 979.43

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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.