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Finding the Fourth Proportional to 8,961.72, 13,448.42 and 3,415.11

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Solution

The fourth proportional to 8,961.72, 13,448.42 and 3,415.11 is: 5,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.72 : 13,448.42 = 3,415.11 : x
  2. Step 2: Convert to fraction form
    8,961.72/13,448.42 = 3,415.11/x
  3. Step 3: Cross multiply
    8,961.72x = 13,448.42 × 3,415.11
  4. Step 4: Simplify right side
    8,961.72x = 45,927,816.55
  5. Step 5: Solve for x
    x = 45,927,816.55/8,961.72
  6. Step 6: Final answer
    x = 5,124.89

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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.