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Finding the Fourth Proportional to 25,490.43, 38,235.65 and 7,961.76

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Solution

The fourth proportional to 25,490.43, 38,235.65 and 7,961.76 is: 11,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,490.43 : 38,235.65 = 7,961.76 : x
  2. Step 2: Convert to fraction form
    25,490.43/38,235.65 = 7,961.76/x
  3. Step 3: Cross multiply
    25,490.43x = 38,235.65 × 7,961.76
  4. Step 4: Simplify right side
    25,490.43x = 304,423,028.94
  5. Step 5: Solve for x
    x = 304,423,028.94/25,490.43
  6. Step 6: Final answer
    x = 11,942.64

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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.