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Finding the Fourth Proportional to 3,112.68, 4,650.96 and 2,357.22

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Solution

The fourth proportional to 3,112.68, 4,650.96 and 2,357.22 is: 3,522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.68 : 4,650.96 = 2,357.22 : x
  2. Step 2: Convert to fraction form
    3,112.68/4,650.96 = 2,357.22/x
  3. Step 3: Cross multiply
    3,112.68x = 4,650.96 × 2,357.22
  4. Step 4: Simplify right side
    3,112.68x = 10,963,335.93
  5. Step 5: Solve for x
    x = 10,963,335.93/3,112.68
  6. Step 6: Final answer
    x = 3,522.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.