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Finding the Fourth Proportional to 3,398, 4,689.24 and 2,156

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Solution

The fourth proportional to 3,398, 4,689.24 and 2,156 is: 2,975.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398 : 4,689.24 = 2,156 : x
  2. Step 2: Convert to fraction form
    3,398/4,689.24 = 2,156/x
  3. Step 3: Cross multiply
    3,398x = 4,689.24 × 2,156
  4. Step 4: Simplify right side
    3,398x = 10,110,001.44
  5. Step 5: Solve for x
    x = 10,110,001.44/3,398
  6. Step 6: Final answer
    x = 2,975.28

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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.