Home / 3,102.84-4,282.02-1,776.44

Finding the Fourth Proportional to 3,102.84, 4,282.02 and 1,776.44

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Solution

The fourth proportional to 3,102.84, 4,282.02 and 1,776.44 is: 2,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.84 : 4,282.02 = 1,776.44 : x
  2. Step 2: Convert to fraction form
    3,102.84/4,282.02 = 1,776.44/x
  3. Step 3: Cross multiply
    3,102.84x = 4,282.02 × 1,776.44
  4. Step 4: Simplify right side
    3,102.84x = 7,606,751.61
  5. Step 5: Solve for x
    x = 7,606,751.61/3,102.84
  6. Step 6: Final answer
    x = 2,451.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.