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Finding the Fourth Proportional to 13,447.01, 20,142.88 and 7,883.53

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Solution

The fourth proportional to 13,447.01, 20,142.88 and 7,883.53 is: 11,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.01 : 20,142.88 = 7,883.53 : x
  2. Step 2: Convert to fraction form
    13,447.01/20,142.88 = 7,883.53/x
  3. Step 3: Cross multiply
    13,447.01x = 20,142.88 × 7,883.53
  4. Step 4: Simplify right side
    13,447.01x = 158,796,928.70
  5. Step 5: Solve for x
    x = 158,796,928.70/13,447.01
  6. Step 6: Final answer
    x = 11,809.09

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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.