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Finding the Fourth Proportional to 8,961.84, 13,438.44 and 2,720.80

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Solution

The fourth proportional to 8,961.84, 13,438.44 and 2,720.80 is: 4,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.84 : 13,438.44 = 2,720.80 : x
  2. Step 2: Convert to fraction form
    8,961.84/13,438.44 = 2,720.80/x
  3. Step 3: Cross multiply
    8,961.84x = 13,438.44 × 2,720.80
  4. Step 4: Simplify right side
    8,961.84x = 36,563,307.55
  5. Step 5: Solve for x
    x = 36,563,307.55/8,961.84
  6. Step 6: Final answer
    x = 4,079.89

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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.