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Finding the Fourth Proportional to 25,208.82, 37,814.49 and 7,678.98

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Solution

The fourth proportional to 25,208.82, 37,814.49 and 7,678.98 is: 11,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,208.82 : 37,814.49 = 7,678.98 : x
  2. Step 2: Convert to fraction form
    25,208.82/37,814.49 = 7,678.98/x
  3. Step 3: Cross multiply
    25,208.82x = 37,814.49 × 7,678.98
  4. Step 4: Simplify right side
    25,208.82x = 290,376,712.42
  5. Step 5: Solve for x
    x = 290,376,712.42/25,208.82
  6. Step 6: Final answer
    x = 11,518.85

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1.5x scale

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.