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Finding the Fourth Proportional to 20,706, 28,572.48 and 11,753.88

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Solution

The fourth proportional to 20,706, 28,572.48 and 11,753.88 is: 16,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,706 : 28,572.48 = 11,753.88 : x
  2. Step 2: Convert to fraction form
    20,706/28,572.48 = 11,753.88/x
  3. Step 3: Cross multiply
    20,706x = 28,572.48 × 11,753.88
  4. Step 4: Simplify right side
    20,706x = 335,837,501.22
  5. Step 5: Solve for x
    x = 335,837,501.22/20,706
  6. Step 6: Final answer
    x = 16,219.33

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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.