Home / 2,649.07-3,967.29-2,099.47

Finding the Fourth Proportional to 2,649.07, 3,967.29 and 2,099.47

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Solution

The fourth proportional to 2,649.07, 3,967.29 and 2,099.47 is: 3,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.07 : 3,967.29 = 2,099.47 : x
  2. Step 2: Convert to fraction form
    2,649.07/3,967.29 = 2,099.47/x
  3. Step 3: Cross multiply
    2,649.07x = 3,967.29 × 2,099.47
  4. Step 4: Simplify right side
    2,649.07x = 8,329,206.34
  5. Step 5: Solve for x
    x = 8,329,206.34/2,649.07
  6. Step 6: Final answer
    x = 3,144.20

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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.