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Finding the Fourth Proportional to 20,342.33, 30,518.09 and 10,982.16

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Solution

The fourth proportional to 20,342.33, 30,518.09 and 10,982.16 is: 16,475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342.33 : 30,518.09 = 10,982.16 : x
  2. Step 2: Convert to fraction form
    20,342.33/30,518.09 = 10,982.16/x
  3. Step 3: Cross multiply
    20,342.33x = 30,518.09 × 10,982.16
  4. Step 4: Simplify right side
    20,342.33x = 335,154,492.36
  5. Step 5: Solve for x
    x = 335,154,492.36/20,342.33
  6. Step 6: Final answer
    x = 16,475.72

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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.