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Finding the Fourth Proportional to 10,581.09, 15,872.14 and 8,728.77

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Solution

The fourth proportional to 10,581.09, 15,872.14 and 8,728.77 is: 13,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.09 : 15,872.14 = 8,728.77 : x
  2. Step 2: Convert to fraction form
    10,581.09/15,872.14 = 8,728.77/x
  3. Step 3: Cross multiply
    10,581.09x = 15,872.14 × 8,728.77
  4. Step 4: Simplify right side
    10,581.09x = 138,544,259.47
  5. Step 5: Solve for x
    x = 138,544,259.47/10,581.09
  6. Step 6: Final answer
    x = 13,093.57

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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.