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Finding the Fourth Proportional to 21,143, 31,714.50 and 8,831

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Solution

The fourth proportional to 21,143, 31,714.50 and 8,831 is: 13,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143 : 31,714.50 = 8,831 : x
  2. Step 2: Convert to fraction form
    21,143/31,714.50 = 8,831/x
  3. Step 3: Cross multiply
    21,143x = 31,714.50 × 8,831
  4. Step 4: Simplify right side
    21,143x = 280,070,749.50
  5. Step 5: Solve for x
    x = 280,070,749.50/21,143
  6. Step 6: Final answer
    x = 13,246.50

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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.