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Finding the Fourth Proportional to 25,675.88, 38,518.05 and 8,149.91

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Solution

The fourth proportional to 25,675.88, 38,518.05 and 8,149.91 is: 12,226.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,675.88 : 38,518.05 = 8,149.91 : x
  2. Step 2: Convert to fraction form
    25,675.88/38,518.05 = 8,149.91/x
  3. Step 3: Cross multiply
    25,675.88x = 38,518.05 × 8,149.91
  4. Step 4: Simplify right side
    25,675.88x = 313,918,448.29
  5. Step 5: Solve for x
    x = 313,918,448.29/25,675.88
  6. Step 6: Final answer
    x = 12,226.20

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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.