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Finding the Fourth Proportional to 21,179.63, 31,769.45 and 7,328.63

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Solution

The fourth proportional to 21,179.63, 31,769.45 and 7,328.63 is: 10,992.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,179.63 : 31,769.45 = 7,328.63 : x
  2. Step 2: Convert to fraction form
    21,179.63/31,769.45 = 7,328.63/x
  3. Step 3: Cross multiply
    21,179.63x = 31,769.45 × 7,328.63
  4. Step 4: Simplify right side
    21,179.63x = 232,826,348.86
  5. Step 5: Solve for x
    x = 232,826,348.86/21,179.63
  6. Step 6: Final answer
    x = 10,992.94

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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.