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Finding the Fourth Proportional to 3,044.05, 4,200.78 and 1,646.80

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Solution

The fourth proportional to 3,044.05, 4,200.78 and 1,646.80 is: 2,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.05 : 4,200.78 = 1,646.80 : x
  2. Step 2: Convert to fraction form
    3,044.05/4,200.78 = 1,646.80/x
  3. Step 3: Cross multiply
    3,044.05x = 4,200.78 × 1,646.80
  4. Step 4: Simplify right side
    3,044.05x = 6,917,844.50
  5. Step 5: Solve for x
    x = 6,917,844.50/3,044.05
  6. Step 6: Final answer
    x = 2,272.58

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