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Finding the Fourth Proportional to 21,201.96, 31,815.48 and 8,065.32

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Solution

The fourth proportional to 21,201.96, 31,815.48 and 8,065.32 is: 12,102.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201.96 : 31,815.48 = 8,065.32 : x
  2. Step 2: Convert to fraction form
    21,201.96/31,815.48 = 8,065.32/x
  3. Step 3: Cross multiply
    21,201.96x = 31,815.48 × 8,065.32
  4. Step 4: Simplify right side
    21,201.96x = 256,602,027.15
  5. Step 5: Solve for x
    x = 256,602,027.15/21,201.96
  6. Step 6: Final answer
    x = 12,102.75

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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.