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Finding the Fourth Proportional to 15,864, 21,892.32 and 9,577.92

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Solution

The fourth proportional to 15,864, 21,892.32 and 9,577.92 is: 13,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864 : 21,892.32 = 9,577.92 : x
  2. Step 2: Convert to fraction form
    15,864/21,892.32 = 9,577.92/x
  3. Step 3: Cross multiply
    15,864x = 21,892.32 × 9,577.92
  4. Step 4: Simplify right side
    15,864x = 209,682,889.57
  5. Step 5: Solve for x
    x = 209,682,889.57/15,864
  6. Step 6: Final answer
    x = 13,217.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.