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Finding the Fourth Proportional to 21,234.95, 31,850.79 and 6,443.94

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Solution

The fourth proportional to 21,234.95, 31,850.79 and 6,443.94 is: 9,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.95 : 31,850.79 = 6,443.94 : x
  2. Step 2: Convert to fraction form
    21,234.95/31,850.79 = 6,443.94/x
  3. Step 3: Cross multiply
    21,234.95x = 31,850.79 × 6,443.94
  4. Step 4: Simplify right side
    21,234.95x = 205,244,579.71
  5. Step 5: Solve for x
    x = 205,244,579.71/21,234.95
  6. Step 6: Final answer
    x = 9,665.42

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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.