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Finding the Fourth Proportional to 20,267.84, 30,381.09 and 11,484.20

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Solution

The fourth proportional to 20,267.84, 30,381.09 and 11,484.20 is: 17,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,267.84 : 30,381.09 = 11,484.20 : x
  2. Step 2: Convert to fraction form
    20,267.84/30,381.09 = 11,484.20/x
  3. Step 3: Cross multiply
    20,267.84x = 30,381.09 × 11,484.20
  4. Step 4: Simplify right side
    20,267.84x = 348,902,361.87
  5. Step 5: Solve for x
    x = 348,902,361.87/20,267.84
  6. Step 6: Final answer
    x = 17,214.58

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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.