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Finding the Fourth Proportional to 20,773.60, 31,156.80 and 7,619.20

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Solution

The fourth proportional to 20,773.60, 31,156.80 and 7,619.20 is: 11,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,773.60 : 31,156.80 = 7,619.20 : x
  2. Step 2: Convert to fraction form
    20,773.60/31,156.80 = 7,619.20/x
  3. Step 3: Cross multiply
    20,773.60x = 31,156.80 × 7,619.20
  4. Step 4: Simplify right side
    20,773.60x = 237,389,890.56
  5. Step 5: Solve for x
    x = 237,389,890.56/20,773.60
  6. Step 6: Final answer
    x = 11,427.48

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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.