Home / 2,782.89-4,178.52-2,649.14

Finding the Fourth Proportional to 2,782.89, 4,178.52 and 2,649.14

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Solution

The fourth proportional to 2,782.89, 4,178.52 and 2,649.14 is: 3,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.89 : 4,178.52 = 2,649.14 : x
  2. Step 2: Convert to fraction form
    2,782.89/4,178.52 = 2,649.14/x
  3. Step 3: Cross multiply
    2,782.89x = 4,178.52 × 2,649.14
  4. Step 4: Simplify right side
    2,782.89x = 11,069,484.47
  5. Step 5: Solve for x
    x = 11,069,484.47/2,782.89
  6. Step 6: Final answer
    x = 3,977.69

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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.