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Finding the Fourth Proportional to 21,197.34, 31,795.02 and 8,714.34

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Solution

The fourth proportional to 21,197.34, 31,795.02 and 8,714.34 is: 13,071.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197.34 : 31,795.02 = 8,714.34 : x
  2. Step 2: Convert to fraction form
    21,197.34/31,795.02 = 8,714.34/x
  3. Step 3: Cross multiply
    21,197.34x = 31,795.02 × 8,714.34
  4. Step 4: Simplify right side
    21,197.34x = 277,072,614.59
  5. Step 5: Solve for x
    x = 277,072,614.59/21,197.34
  6. Step 6: Final answer
    x = 13,071.10

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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.