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Finding the Fourth Proportional to 21,204.92, 31,807.38 and 7,165.02

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Solution

The fourth proportional to 21,204.92, 31,807.38 and 7,165.02 is: 10,747.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,204.92 : 31,807.38 = 7,165.02 : x
  2. Step 2: Convert to fraction form
    21,204.92/31,807.38 = 7,165.02/x
  3. Step 3: Cross multiply
    21,204.92x = 31,807.38 × 7,165.02
  4. Step 4: Simplify right side
    21,204.92x = 227,900,513.85
  5. Step 5: Solve for x
    x = 227,900,513.85/21,204.92
  6. Step 6: Final answer
    x = 10,747.53

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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.