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Finding the Fourth Proportional to 13,164.80, 19,718.40 and 7,961.60

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Solution

The fourth proportional to 13,164.80, 19,718.40 and 7,961.60 is: 11,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.80 : 19,718.40 = 7,961.60 : x
  2. Step 2: Convert to fraction form
    13,164.80/19,718.40 = 7,961.60/x
  3. Step 3: Cross multiply
    13,164.80x = 19,718.40 × 7,961.60
  4. Step 4: Simplify right side
    13,164.80x = 156,990,013.44
  5. Step 5: Solve for x
    x = 156,990,013.44/13,164.80
  6. Step 6: Final answer
    x = 11,924.98

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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.