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Finding the Fourth Proportional to 20,316.42, 30,478.42 and 9,223.88

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Solution

The fourth proportional to 20,316.42, 30,478.42 and 9,223.88 is: 13,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,316.42 : 30,478.42 = 9,223.88 : x
  2. Step 2: Convert to fraction form
    20,316.42/30,478.42 = 9,223.88/x
  3. Step 3: Cross multiply
    20,316.42x = 30,478.42 × 9,223.88
  4. Step 4: Simplify right side
    20,316.42x = 281,129,288.67
  5. Step 5: Solve for x
    x = 281,129,288.67/20,316.42
  6. Step 6: Final answer
    x = 13,837.54

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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.