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Finding the Fourth Proportional to 22,512, 33,783.36 and 7,920

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Solution

The fourth proportional to 22,512, 33,783.36 and 7,920 is: 11,885.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,512 : 33,783.36 = 7,920 : x
  2. Step 2: Convert to fraction form
    22,512/33,783.36 = 7,920/x
  3. Step 3: Cross multiply
    22,512x = 33,783.36 × 7,920
  4. Step 4: Simplify right side
    22,512x = 267,564,211.20
  5. Step 5: Solve for x
    x = 267,564,211.20/22,512
  6. Step 6: Final answer
    x = 11,885.40

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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.