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Finding the Fourth Proportional to 20,442.60, 30,659.85 and 9,912.60

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Solution

The fourth proportional to 20,442.60, 30,659.85 and 9,912.60 is: 14,866.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,442.60 : 30,659.85 = 9,912.60 : x
  2. Step 2: Convert to fraction form
    20,442.60/30,659.85 = 9,912.60/x
  3. Step 3: Cross multiply
    20,442.60x = 30,659.85 × 9,912.60
  4. Step 4: Simplify right side
    20,442.60x = 303,918,829.11
  5. Step 5: Solve for x
    x = 303,918,829.11/20,442.60
  6. Step 6: Final answer
    x = 14,866.94

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1.5x scale

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.