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Finding the Fourth Proportional to 13,851.64, 20,775.18 and 5,084.44

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Solution

The fourth proportional to 13,851.64, 20,775.18 and 5,084.44 is: 7,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.64 : 20,775.18 = 5,084.44 : x
  2. Step 2: Convert to fraction form
    13,851.64/20,775.18 = 5,084.44/x
  3. Step 3: Cross multiply
    13,851.64x = 20,775.18 × 5,084.44
  4. Step 4: Simplify right side
    13,851.64x = 105,630,156.20
  5. Step 5: Solve for x
    x = 105,630,156.20/13,851.64
  6. Step 6: Final answer
    x = 7,625.82

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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.