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Finding the Fourth Proportional to 3,339, 4,607.82 and 1,867

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Solution

The fourth proportional to 3,339, 4,607.82 and 1,867 is: 2,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339 : 4,607.82 = 1,867 : x
  2. Step 2: Convert to fraction form
    3,339/4,607.82 = 1,867/x
  3. Step 3: Cross multiply
    3,339x = 4,607.82 × 1,867
  4. Step 4: Simplify right side
    3,339x = 8,602,799.94
  5. Step 5: Solve for x
    x = 8,602,799.94/3,339
  6. Step 6: Final answer
    x = 2,576.46

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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.