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Finding the Fourth Proportional to 20,507.64, 30,766.26 and 6,656.64

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Solution

The fourth proportional to 20,507.64, 30,766.26 and 6,656.64 is: 9,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,507.64 : 30,766.26 = 6,656.64 : x
  2. Step 2: Convert to fraction form
    20,507.64/30,766.26 = 6,656.64/x
  3. Step 3: Cross multiply
    20,507.64x = 30,766.26 × 6,656.64
  4. Step 4: Simplify right side
    20,507.64x = 204,799,916.97
  5. Step 5: Solve for x
    x = 204,799,916.97/20,507.64
  6. Step 6: Final answer
    x = 9,986.52

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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.