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Finding the Fourth Proportional to 21,737, 29,998.56 and 12,305.60

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Solution

The fourth proportional to 21,737, 29,998.56 and 12,305.60 is: 16,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,737 : 29,998.56 = 12,305.60 : x
  2. Step 2: Convert to fraction form
    21,737/29,998.56 = 12,305.60/x
  3. Step 3: Cross multiply
    21,737x = 29,998.56 × 12,305.60
  4. Step 4: Simplify right side
    21,737x = 369,150,279.94
  5. Step 5: Solve for x
    x = 369,150,279.94/21,737
  6. Step 6: Final answer
    x = 16,982.58

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1.5x scale

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.