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Finding the Fourth Proportional to 20,803.56, 31,205.22 and 10,415.16

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Solution

The fourth proportional to 20,803.56, 31,205.22 and 10,415.16 is: 15,622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.56 : 31,205.22 = 10,415.16 : x
  2. Step 2: Convert to fraction form
    20,803.56/31,205.22 = 10,415.16/x
  3. Step 3: Cross multiply
    20,803.56x = 31,205.22 × 10,415.16
  4. Step 4: Simplify right side
    20,803.56x = 325,007,359.14
  5. Step 5: Solve for x
    x = 325,007,359.14/20,803.56
  6. Step 6: Final answer
    x = 15,622.68

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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.