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Finding the Fourth Proportional to 20,810, 28,708.84 and 13,637.52

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Solution

The fourth proportional to 20,810, 28,708.84 and 13,637.52 is: 18,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810 : 28,708.84 = 13,637.52 : x
  2. Step 2: Convert to fraction form
    20,810/28,708.84 = 13,637.52/x
  3. Step 3: Cross multiply
    20,810x = 28,708.84 × 13,637.52
  4. Step 4: Simplify right side
    20,810x = 391,517,379.68
  5. Step 5: Solve for x
    x = 391,517,379.68/20,810
  6. Step 6: Final answer
    x = 18,813.91

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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.