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Finding the Fourth Proportional to 19,881.76, 29,803.20 and 8,203.36

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Solution

The fourth proportional to 19,881.76, 29,803.20 and 8,203.36 is: 12,297.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881.76 : 29,803.20 = 8,203.36 : x
  2. Step 2: Convert to fraction form
    19,881.76/29,803.20 = 8,203.36/x
  3. Step 3: Cross multiply
    19,881.76x = 29,803.20 × 8,203.36
  4. Step 4: Simplify right side
    19,881.76x = 244,486,378.75
  5. Step 5: Solve for x
    x = 244,486,378.75/19,881.76
  6. Step 6: Final answer
    x = 12,297.02

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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.