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Finding the Fourth Proportional to 20,662.65, 30,976.65 and 9,577.26

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Solution

The fourth proportional to 20,662.65, 30,976.65 and 9,577.26 is: 14,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,662.65 : 30,976.65 = 9,577.26 : x
  2. Step 2: Convert to fraction form
    20,662.65/30,976.65 = 9,577.26/x
  3. Step 3: Cross multiply
    20,662.65x = 30,976.65 × 9,577.26
  4. Step 4: Simplify right side
    20,662.65x = 296,671,430.98
  5. Step 5: Solve for x
    x = 296,671,430.98/20,662.65
  6. Step 6: Final answer
    x = 14,357.86

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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.