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Finding the Fourth Proportional to 2,338.50, 3,227.14 and 1,407.18

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Solution

The fourth proportional to 2,338.50, 3,227.14 and 1,407.18 is: 1,941.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.50 : 3,227.14 = 1,407.18 : x
  2. Step 2: Convert to fraction form
    2,338.50/3,227.14 = 1,407.18/x
  3. Step 3: Cross multiply
    2,338.50x = 3,227.14 × 1,407.18
  4. Step 4: Simplify right side
    2,338.50x = 4,541,166.87
  5. Step 5: Solve for x
    x = 4,541,166.87/2,338.50
  6. Step 6: Final answer
    x = 1,941.91

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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.