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Finding the Fourth Proportional to 6,173.52, 9,256.18 and 3,401.50

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Solution

The fourth proportional to 6,173.52, 9,256.18 and 3,401.50 is: 5,099.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.52 : 9,256.18 = 3,401.50 : x
  2. Step 2: Convert to fraction form
    6,173.52/9,256.18 = 3,401.50/x
  3. Step 3: Cross multiply
    6,173.52x = 9,256.18 × 3,401.50
  4. Step 4: Simplify right side
    6,173.52x = 31,484,896.27
  5. Step 5: Solve for x
    x = 31,484,896.27/6,173.52
  6. Step 6: Final answer
    x = 5,099.99

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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.