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Finding the Fourth Proportional to 21,234.88, 31,852.32 and 6,443.88

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Solution

The fourth proportional to 21,234.88, 31,852.32 and 6,443.88 is: 9,665.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.88 : 31,852.32 = 6,443.88 : x
  2. Step 2: Convert to fraction form
    21,234.88/31,852.32 = 6,443.88/x
  3. Step 3: Cross multiply
    21,234.88x = 31,852.32 × 6,443.88
  4. Step 4: Simplify right side
    21,234.88x = 205,252,527.80
  5. Step 5: Solve for x
    x = 205,252,527.80/21,234.88
  6. Step 6: Final answer
    x = 9,665.82

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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.