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Finding the Fourth Proportional to 12,643.32, 18,964.28 and 3,878.26

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Solution

The fourth proportional to 12,643.32, 18,964.28 and 3,878.26 is: 5,817.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.32 : 18,964.28 = 3,878.26 : x
  2. Step 2: Convert to fraction form
    12,643.32/18,964.28 = 3,878.26/x
  3. Step 3: Cross multiply
    12,643.32x = 18,964.28 × 3,878.26
  4. Step 4: Simplify right side
    12,643.32x = 73,548,408.55
  5. Step 5: Solve for x
    x = 73,548,408.55/12,643.32
  6. Step 6: Final answer
    x = 5,817.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.