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Finding the Fourth Proportional to 4,243.92, 6,365.92 and 1,322

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Solution

The fourth proportional to 4,243.92, 6,365.92 and 1,322 is: 1,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.92 : 6,365.92 = 1,322 : x
  2. Step 2: Convert to fraction form
    4,243.92/6,365.92 = 1,322/x
  3. Step 3: Cross multiply
    4,243.92x = 6,365.92 × 1,322
  4. Step 4: Simplify right side
    4,243.92x = 8,415,746.24
  5. Step 5: Solve for x
    x = 8,415,746.24/4,243.92
  6. Step 6: Final answer
    x = 1,983.01

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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.