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Finding the Fourth Proportional to 25,019.92, 37,529.70 and 8,380

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Solution

The fourth proportional to 25,019.92, 37,529.70 and 8,380 is: 12,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,019.92 : 37,529.70 = 8,380 : x
  2. Step 2: Convert to fraction form
    25,019.92/37,529.70 = 8,380/x
  3. Step 3: Cross multiply
    25,019.92x = 37,529.70 × 8,380
  4. Step 4: Simplify right side
    25,019.92x = 314,498,886
  5. Step 5: Solve for x
    x = 314,498,886/25,019.92
  6. Step 6: Final answer
    x = 12,569.94

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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.