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Finding the Fourth Proportional to 19,940.64, 29,914.53 and 8,254.77

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Solution

The fourth proportional to 19,940.64, 29,914.53 and 8,254.77 is: 12,383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,940.64 : 29,914.53 = 8,254.77 : x
  2. Step 2: Convert to fraction form
    19,940.64/29,914.53 = 8,254.77/x
  3. Step 3: Cross multiply
    19,940.64x = 29,914.53 × 8,254.77
  4. Step 4: Simplify right side
    19,940.64x = 246,937,564.81
  5. Step 5: Solve for x
    x = 246,937,564.81/19,940.64
  6. Step 6: Final answer
    x = 12,383.63

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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.