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Finding the Fourth Proportional to 21,218.86, 31,827.48 and 7,179.94

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Solution

The fourth proportional to 21,218.86, 31,827.48 and 7,179.94 is: 10,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,218.86 : 31,827.48 = 7,179.94 : x
  2. Step 2: Convert to fraction form
    21,218.86/31,827.48 = 7,179.94/x
  3. Step 3: Cross multiply
    21,218.86x = 31,827.48 × 7,179.94
  4. Step 4: Simplify right side
    21,218.86x = 228,519,290.26
  5. Step 5: Solve for x
    x = 228,519,290.26/21,218.86
  6. Step 6: Final answer
    x = 10,769.63

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1.5x scale

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.