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Finding the Fourth Proportional to 20,076, 30,114 and 5,484

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Solution

The fourth proportional to 20,076, 30,114 and 5,484 is: 8,226

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,076 : 30,114 = 5,484 : x
  2. Step 2: Convert to fraction form
    20,076/30,114 = 5,484/x
  3. Step 3: Cross multiply
    20,076x = 30,114 × 5,484
  4. Step 4: Simplify right side
    20,076x = 165,145,176
  5. Step 5: Solve for x
    x = 165,145,176/20,076
  6. Step 6: Final answer
    x = 8,226

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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.