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Finding the Fourth Proportional to 38,380, 57,573.52 and 10,678.24

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Solution

The fourth proportional to 38,380, 57,573.52 and 10,678.24 is: 16,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,380 : 57,573.52 = 10,678.24 : x
  2. Step 2: Convert to fraction form
    38,380/57,573.52 = 10,678.24/x
  3. Step 3: Cross multiply
    38,380x = 57,573.52 × 10,678.24
  4. Step 4: Simplify right side
    38,380x = 614,783,864.20
  5. Step 5: Solve for x
    x = 614,783,864.20/38,380
  6. Step 6: Final answer
    x = 16,018.34

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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.