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Finding the Fourth Proportional to 20,767, 31,152.36 and 8,284

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Solution

The fourth proportional to 20,767, 31,152.36 and 8,284 is: 12,426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,767 : 31,152.36 = 8,284 : x
  2. Step 2: Convert to fraction form
    20,767/31,152.36 = 8,284/x
  3. Step 3: Cross multiply
    20,767x = 31,152.36 × 8,284
  4. Step 4: Simplify right side
    20,767x = 258,066,150.24
  5. Step 5: Solve for x
    x = 258,066,150.24/20,767
  6. Step 6: Final answer
    x = 12,426.74

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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.