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Finding the Fourth Proportional to 26,577.68, 39,872.28 and 7,859.12

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Solution

The fourth proportional to 26,577.68, 39,872.28 and 7,859.12 is: 11,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,577.68 : 39,872.28 = 7,859.12 : x
  2. Step 2: Convert to fraction form
    26,577.68/39,872.28 = 7,859.12/x
  3. Step 3: Cross multiply
    26,577.68x = 39,872.28 × 7,859.12
  4. Step 4: Simplify right side
    26,577.68x = 313,361,033.19
  5. Step 5: Solve for x
    x = 313,361,033.19/26,577.68
  6. Step 6: Final answer
    x = 11,790.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.