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Finding the Fourth Proportional to 20,802.08, 31,218 and 8,314.88

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Solution

The fourth proportional to 20,802.08, 31,218 and 8,314.88 is: 12,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.08 : 31,218 = 8,314.88 : x
  2. Step 2: Convert to fraction form
    20,802.08/31,218 = 8,314.88/x
  3. Step 3: Cross multiply
    20,802.08x = 31,218 × 8,314.88
  4. Step 4: Simplify right side
    20,802.08x = 259,573,923.84
  5. Step 5: Solve for x
    x = 259,573,923.84/20,802.08
  6. Step 6: Final answer
    x = 12,478.27

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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.