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Finding the Fourth Proportional to 4,353.84, 6,538.98 and 2,721.84

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Solution

The fourth proportional to 4,353.84, 6,538.98 and 2,721.84 is: 4,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,353.84 : 6,538.98 = 2,721.84 : x
  2. Step 2: Convert to fraction form
    4,353.84/6,538.98 = 2,721.84/x
  3. Step 3: Cross multiply
    4,353.84x = 6,538.98 × 2,721.84
  4. Step 4: Simplify right side
    4,353.84x = 17,798,057.32
  5. Step 5: Solve for x
    x = 17,798,057.32/4,353.84
  6. Step 6: Final answer
    x = 4,087.90

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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.