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Finding the Fourth Proportional to 21,574.40, 32,361.06 and 6,781.28

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Solution

The fourth proportional to 21,574.40, 32,361.06 and 6,781.28 is: 10,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.40 : 32,361.06 = 6,781.28 : x
  2. Step 2: Convert to fraction form
    21,574.40/32,361.06 = 6,781.28/x
  3. Step 3: Cross multiply
    21,574.40x = 32,361.06 × 6,781.28
  4. Step 4: Simplify right side
    21,574.40x = 219,449,408.96
  5. Step 5: Solve for x
    x = 219,449,408.96/21,574.40
  6. Step 6: Final answer
    x = 10,171.75

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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.