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Finding the Fourth Proportional to 9,163.92, 13,750.86 and 3,970.20

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Solution

The fourth proportional to 9,163.92, 13,750.86 and 3,970.20 is: 5,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.92 : 13,750.86 = 3,970.20 : x
  2. Step 2: Convert to fraction form
    9,163.92/13,750.86 = 3,970.20/x
  3. Step 3: Cross multiply
    9,163.92x = 13,750.86 × 3,970.20
  4. Step 4: Simplify right side
    9,163.92x = 54,593,664.37
  5. Step 5: Solve for x
    x = 54,593,664.37/9,163.92
  6. Step 6: Final answer
    x = 5,957.46

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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.