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Finding the Fourth Proportional to 20,776, 31,164 and 6,184

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Solution

The fourth proportional to 20,776, 31,164 and 6,184 is: 9,276

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776 : 31,164 = 6,184 : x
  2. Step 2: Convert to fraction form
    20,776/31,164 = 6,184/x
  3. Step 3: Cross multiply
    20,776x = 31,164 × 6,184
  4. Step 4: Simplify right side
    20,776x = 192,718,176
  5. Step 5: Solve for x
    x = 192,718,176/20,776
  6. Step 6: Final answer
    x = 9,276

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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.