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Finding the Fourth Proportional to 15,163.16, 20,921.34 and 9,857.12

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Solution

The fourth proportional to 15,163.16, 20,921.34 and 9,857.12 is: 13,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,163.16 : 20,921.34 = 9,857.12 : x
  2. Step 2: Convert to fraction form
    15,163.16/20,921.34 = 9,857.12/x
  3. Step 3: Cross multiply
    15,163.16x = 20,921.34 × 9,857.12
  4. Step 4: Simplify right side
    15,163.16x = 206,224,158.94
  5. Step 5: Solve for x
    x = 206,224,158.94/15,163.16
  6. Step 6: Final answer
    x = 13,600.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.