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Finding the Fourth Proportional to 21,105.22, 31,646.14 and 8,634

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Solution

The fourth proportional to 21,105.22, 31,646.14 and 8,634 is: 12,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105.22 : 31,646.14 = 8,634 : x
  2. Step 2: Convert to fraction form
    21,105.22/31,646.14 = 8,634/x
  3. Step 3: Cross multiply
    21,105.22x = 31,646.14 × 8,634
  4. Step 4: Simplify right side
    21,105.22x = 273,232,772.76
  5. Step 5: Solve for x
    x = 273,232,772.76/21,105.22
  6. Step 6: Final answer
    x = 12,946.22

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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.