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Finding the Fourth Proportional to 25,280.38, 37,923 and 7,747.12

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Solution

The fourth proportional to 25,280.38, 37,923 and 7,747.12 is: 11,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,280.38 : 37,923 = 7,747.12 : x
  2. Step 2: Convert to fraction form
    25,280.38/37,923 = 7,747.12/x
  3. Step 3: Cross multiply
    25,280.38x = 37,923 × 7,747.12
  4. Step 4: Simplify right side
    25,280.38x = 293,794,031.76
  5. Step 5: Solve for x
    x = 293,794,031.76/25,280.38
  6. Step 6: Final answer
    x = 11,621.42

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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.