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Finding the Fourth Proportional to 3,044.01, 4,200.75 and 1,646.76

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Solution

The fourth proportional to 3,044.01, 4,200.75 and 1,646.76 is: 2,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.01 : 4,200.75 = 1,646.76 : x
  2. Step 2: Convert to fraction form
    3,044.01/4,200.75 = 1,646.76/x
  3. Step 3: Cross multiply
    3,044.01x = 4,200.75 × 1,646.76
  4. Step 4: Simplify right side
    3,044.01x = 6,917,627.07
  5. Step 5: Solve for x
    x = 6,917,627.07/3,044.01
  6. Step 6: Final answer
    x = 2,272.54

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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.