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Finding the Fourth Proportional to 21,641.76, 29,859.96 and 12,684.44

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Solution

The fourth proportional to 21,641.76, 29,859.96 and 12,684.44 is: 17,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.76 : 29,859.96 = 12,684.44 : x
  2. Step 2: Convert to fraction form
    21,641.76/29,859.96 = 12,684.44/x
  3. Step 3: Cross multiply
    21,641.76x = 29,859.96 × 12,684.44
  4. Step 4: Simplify right side
    21,641.76x = 378,756,871.02
  5. Step 5: Solve for x
    x = 378,756,871.02/21,641.76
  6. Step 6: Final answer
    x = 17,501.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.