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Finding the Fourth Proportional to 20,921.32, 28,871.64 and 11,361.32

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Solution

The fourth proportional to 20,921.32, 28,871.64 and 11,361.32 is: 15,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,921.32 : 28,871.64 = 11,361.32 : x
  2. Step 2: Convert to fraction form
    20,921.32/28,871.64 = 11,361.32/x
  3. Step 3: Cross multiply
    20,921.32x = 28,871.64 × 11,361.32
  4. Step 4: Simplify right side
    20,921.32x = 328,019,940.96
  5. Step 5: Solve for x
    x = 328,019,940.96/20,921.32
  6. Step 6: Final answer
    x = 15,678.74

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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.