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Finding the Fourth Proportional to 10,921.64, 16,380.63 and 3,128.63

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Solution

The fourth proportional to 10,921.64, 16,380.63 and 3,128.63 is: 4,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921.64 : 16,380.63 = 3,128.63 : x
  2. Step 2: Convert to fraction form
    10,921.64/16,380.63 = 3,128.63/x
  3. Step 3: Cross multiply
    10,921.64x = 16,380.63 × 3,128.63
  4. Step 4: Simplify right side
    10,921.64x = 51,248,848.53
  5. Step 5: Solve for x
    x = 51,248,848.53/10,921.64
  6. Step 6: Final answer
    x = 4,692.42

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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.