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Finding the Fourth Proportional to 21,641.11, 32,465.87 and 8,313.13

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Solution

The fourth proportional to 21,641.11, 32,465.87 and 8,313.13 is: 12,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.11 : 32,465.87 = 8,313.13 : x
  2. Step 2: Convert to fraction form
    21,641.11/32,465.87 = 8,313.13/x
  3. Step 3: Cross multiply
    21,641.11x = 32,465.87 × 8,313.13
  4. Step 4: Simplify right side
    21,641.11x = 269,892,793.98
  5. Step 5: Solve for x
    x = 269,892,793.98/21,641.11
  6. Step 6: Final answer
    x = 12,471.30

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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.