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Finding the Fourth Proportional to 20,566.70, 30,853.29 and 7,422.29

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Solution

The fourth proportional to 20,566.70, 30,853.29 and 7,422.29 is: 11,134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,566.70 : 30,853.29 = 7,422.29 : x
  2. Step 2: Convert to fraction form
    20,566.70/30,853.29 = 7,422.29/x
  3. Step 3: Cross multiply
    20,566.70x = 30,853.29 × 7,422.29
  4. Step 4: Simplify right side
    20,566.70x = 229,002,065.83
  5. Step 5: Solve for x
    x = 229,002,065.83/20,566.70
  6. Step 6: Final answer
    x = 11,134.60

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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.