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Finding the Fourth Proportional to 20,492.85, 30,741.42 and 7,842.60

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Solution

The fourth proportional to 20,492.85, 30,741.42 and 7,842.60 is: 11,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,492.85 : 30,741.42 = 7,842.60 : x
  2. Step 2: Convert to fraction form
    20,492.85/30,741.42 = 7,842.60/x
  3. Step 3: Cross multiply
    20,492.85x = 30,741.42 × 7,842.60
  4. Step 4: Simplify right side
    20,492.85x = 241,092,660.49
  5. Step 5: Solve for x
    x = 241,092,660.49/20,492.85
  6. Step 6: Final answer
    x = 11,764.72

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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.