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Finding the Fourth Proportional to 2,222.15, 3,066.54 and 1,338

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Solution

The fourth proportional to 2,222.15, 3,066.54 and 1,338 is: 1,846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.15 : 3,066.54 = 1,338 : x
  2. Step 2: Convert to fraction form
    2,222.15/3,066.54 = 1,338/x
  3. Step 3: Cross multiply
    2,222.15x = 3,066.54 × 1,338
  4. Step 4: Simplify right side
    2,222.15x = 4,103,030.52
  5. Step 5: Solve for x
    x = 4,103,030.52/2,222.15
  6. Step 6: Final answer
    x = 1,846.43

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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.