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Finding the Fourth Proportional to 20,805.70, 31,208.55 and 8,327.65

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Solution

The fourth proportional to 20,805.70, 31,208.55 and 8,327.65 is: 12,491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.70 : 31,208.55 = 8,327.65 : x
  2. Step 2: Convert to fraction form
    20,805.70/31,208.55 = 8,327.65/x
  3. Step 3: Cross multiply
    20,805.70x = 31,208.55 × 8,327.65
  4. Step 4: Simplify right side
    20,805.70x = 259,893,881.41
  5. Step 5: Solve for x
    x = 259,893,881.41/20,805.70
  6. Step 6: Final answer
    x = 12,491.48

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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.