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Finding the Fourth Proportional to 19,757.64, 29,640.48 and 8,071.80

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Solution

The fourth proportional to 19,757.64, 29,640.48 and 8,071.80 is: 12,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,757.64 : 29,640.48 = 8,071.80 : x
  2. Step 2: Convert to fraction form
    19,757.64/29,640.48 = 8,071.80/x
  3. Step 3: Cross multiply
    19,757.64x = 29,640.48 × 8,071.80
  4. Step 4: Simplify right side
    19,757.64x = 239,252,026.46
  5. Step 5: Solve for x
    x = 239,252,026.46/19,757.64
  6. Step 6: Final answer
    x = 12,109.34

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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.