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Finding the Fourth Proportional to 20,446.56, 30,630.24 and 15,762.24

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Solution

The fourth proportional to 20,446.56, 30,630.24 and 15,762.24 is: 23,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.56 : 30,630.24 = 15,762.24 : x
  2. Step 2: Convert to fraction form
    20,446.56/30,630.24 = 15,762.24/x
  3. Step 3: Cross multiply
    20,446.56x = 30,630.24 × 15,762.24
  4. Step 4: Simplify right side
    20,446.56x = 482,801,194.14
  5. Step 5: Solve for x
    x = 482,801,194.14/20,446.56
  6. Step 6: Final answer
    x = 23,612.83

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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.