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Finding the Fourth Proportional to 3,398, 5,096.28 and 2,752.40

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Solution

The fourth proportional to 3,398, 5,096.28 and 2,752.40 is: 4,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398 : 5,096.28 = 2,752.40 : x
  2. Step 2: Convert to fraction form
    3,398/5,096.28 = 2,752.40/x
  3. Step 3: Cross multiply
    3,398x = 5,096.28 × 2,752.40
  4. Step 4: Simplify right side
    3,398x = 14,027,001.07
  5. Step 5: Solve for x
    x = 14,027,001.07/3,398
  6. Step 6: Final answer
    x = 4,128.02

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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.