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Finding the Fourth Proportional to 20,807.56, 31,219.12 and 10,806.06

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Solution

The fourth proportional to 20,807.56, 31,219.12 and 10,806.06 is: 16,213.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.56 : 31,219.12 = 10,806.06 : x
  2. Step 2: Convert to fraction form
    20,807.56/31,219.12 = 10,806.06/x
  3. Step 3: Cross multiply
    20,807.56x = 31,219.12 × 10,806.06
  4. Step 4: Simplify right side
    20,807.56x = 337,355,683.87
  5. Step 5: Solve for x
    x = 337,355,683.87/20,807.56
  6. Step 6: Final answer
    x = 16,213.13

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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.