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Finding the Fourth Proportional to 2,338.68, 3,227.58 and 1,407

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Solution

The fourth proportional to 2,338.68, 3,227.58 and 1,407 is: 1,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.68 : 3,227.58 = 1,407 : x
  2. Step 2: Convert to fraction form
    2,338.68/3,227.58 = 1,407/x
  3. Step 3: Cross multiply
    2,338.68x = 3,227.58 × 1,407
  4. Step 4: Simplify right side
    2,338.68x = 4,541,205.06
  5. Step 5: Solve for x
    x = 4,541,205.06/2,338.68
  6. Step 6: Final answer
    x = 1,941.78

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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.