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Finding the Fourth Proportional to 21,034.41, 31,543.41 and 7,879.61

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Solution

The fourth proportional to 21,034.41, 31,543.41 and 7,879.61 is: 11,816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.41 : 31,543.41 = 7,879.61 : x
  2. Step 2: Convert to fraction form
    21,034.41/31,543.41 = 7,879.61/x
  3. Step 3: Cross multiply
    21,034.41x = 31,543.41 × 7,879.61
  4. Step 4: Simplify right side
    21,034.41x = 248,549,640.70
  5. Step 5: Solve for x
    x = 248,549,640.70/21,034.41
  6. Step 6: Final answer
    x = 11,816.34

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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.