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Finding the Fourth Proportional to 6,735, 10,099.56 and 3,401.20

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Solution

The fourth proportional to 6,735, 10,099.56 and 3,401.20 is: 5,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735 : 10,099.56 = 3,401.20 : x
  2. Step 2: Convert to fraction form
    6,735/10,099.56 = 3,401.20/x
  3. Step 3: Cross multiply
    6,735x = 10,099.56 × 3,401.20
  4. Step 4: Simplify right side
    6,735x = 34,350,623.47
  5. Step 5: Solve for x
    x = 34,350,623.47/6,735
  6. Step 6: Final answer
    x = 5,100.32

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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.