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Finding the Fourth Proportional to 3,326.94, 4,989 and 1,476.78

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Solution

The fourth proportional to 3,326.94, 4,989 and 1,476.78 is: 2,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,326.94 : 4,989 = 1,476.78 : x
  2. Step 2: Convert to fraction form
    3,326.94/4,989 = 1,476.78/x
  3. Step 3: Cross multiply
    3,326.94x = 4,989 × 1,476.78
  4. Step 4: Simplify right side
    3,326.94x = 7,367,655.42
  5. Step 5: Solve for x
    x = 7,367,655.42/3,326.94
  6. Step 6: Final answer
    x = 2,214.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.