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Finding the Fourth Proportional to 13,766.64, 20,652.84 and 6,837.36

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Solution

The fourth proportional to 13,766.64, 20,652.84 and 6,837.36 is: 10,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.64 : 20,652.84 = 6,837.36 : x
  2. Step 2: Convert to fraction form
    13,766.64/20,652.84 = 6,837.36/x
  3. Step 3: Cross multiply
    13,766.64x = 20,652.84 × 6,837.36
  4. Step 4: Simplify right side
    13,766.64x = 141,210,902.10
  5. Step 5: Solve for x
    x = 141,210,902.10/13,766.64
  6. Step 6: Final answer
    x = 10,257.47

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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.