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Finding the Fourth Proportional to 21,234.48, 31,851.54 and 5,439.48

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Solution

The fourth proportional to 21,234.48, 31,851.54 and 5,439.48 is: 8,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.48 : 31,851.54 = 5,439.48 : x
  2. Step 2: Convert to fraction form
    21,234.48/31,851.54 = 5,439.48/x
  3. Step 3: Cross multiply
    21,234.48x = 31,851.54 × 5,439.48
  4. Step 4: Simplify right side
    21,234.48x = 173,255,814.80
  5. Step 5: Solve for x
    x = 173,255,814.80/21,234.48
  6. Step 6: Final answer
    x = 8,159.17

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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.