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Finding the Fourth Proportional to 19,881.60, 29,811.06 and 8,180.88

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Solution

The fourth proportional to 19,881.60, 29,811.06 and 8,180.88 is: 12,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881.60 : 29,811.06 = 8,180.88 : x
  2. Step 2: Convert to fraction form
    19,881.60/29,811.06 = 8,180.88/x
  3. Step 3: Cross multiply
    19,881.60x = 29,811.06 × 8,180.88
  4. Step 4: Simplify right side
    19,881.60x = 243,880,704.53
  5. Step 5: Solve for x
    x = 243,880,704.53/19,881.60
  6. Step 6: Final answer
    x = 12,266.65

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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.