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Finding the Fourth Proportional to 25,548.66, 38,310.11 and 7,775.91

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Solution

The fourth proportional to 25,548.66, 38,310.11 and 7,775.91 is: 11,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,548.66 : 38,310.11 = 7,775.91 : x
  2. Step 2: Convert to fraction form
    25,548.66/38,310.11 = 7,775.91/x
  3. Step 3: Cross multiply
    25,548.66x = 38,310.11 × 7,775.91
  4. Step 4: Simplify right side
    25,548.66x = 297,895,967.45
  5. Step 5: Solve for x
    x = 297,895,967.45/25,548.66
  6. Step 6: Final answer
    x = 11,659.94

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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.