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Finding the Fourth Proportional to 25,206.82, 37,815.87 and 7,678.03

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Solution

The fourth proportional to 25,206.82, 37,815.87 and 7,678.03 is: 11,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,206.82 : 37,815.87 = 7,678.03 : x
  2. Step 2: Convert to fraction form
    25,206.82/37,815.87 = 7,678.03/x
  3. Step 3: Cross multiply
    25,206.82x = 37,815.87 × 7,678.03
  4. Step 4: Simplify right side
    25,206.82x = 290,351,384.34
  5. Step 5: Solve for x
    x = 290,351,384.34/25,206.82
  6. Step 6: Final answer
    x = 11,518.76

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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.