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Finding the Fourth Proportional to 21,205.78, 31,812.34 and 7,165.92

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Solution

The fourth proportional to 21,205.78, 31,812.34 and 7,165.92 is: 10,750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.78 : 31,812.34 = 7,165.92 : x
  2. Step 2: Convert to fraction form
    21,205.78/31,812.34 = 7,165.92/x
  3. Step 3: Cross multiply
    21,205.78x = 31,812.34 × 7,165.92
  4. Step 4: Simplify right side
    21,205.78x = 227,964,683.45
  5. Step 5: Solve for x
    x = 227,964,683.45/21,205.78
  6. Step 6: Final answer
    x = 10,750.12

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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.