Home / 2,021.90-3,031.02-704.77

Finding the Fourth Proportional to 2,021.90, 3,031.02 and 704.77

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Solution

The fourth proportional to 2,021.90, 3,031.02 and 704.77 is: 1,056.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.90 : 3,031.02 = 704.77 : x
  2. Step 2: Convert to fraction form
    2,021.90/3,031.02 = 704.77/x
  3. Step 3: Cross multiply
    2,021.90x = 3,031.02 × 704.77
  4. Step 4: Simplify right side
    2,021.90x = 2,136,164.39
  5. Step 5: Solve for x
    x = 2,136,164.39/2,021.90
  6. Step 6: Final answer
    x = 1,056.52

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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.