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Finding the Fourth Proportional to 9,968.90, 13,757.12 and 5,492.55

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Solution

The fourth proportional to 9,968.90, 13,757.12 and 5,492.55 is: 7,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.90 : 13,757.12 = 5,492.55 : x
  2. Step 2: Convert to fraction form
    9,968.90/13,757.12 = 5,492.55/x
  3. Step 3: Cross multiply
    9,968.90x = 13,757.12 × 5,492.55
  4. Step 4: Simplify right side
    9,968.90x = 75,561,641.99
  5. Step 5: Solve for x
    x = 75,561,641.99/9,968.90
  6. Step 6: Final answer
    x = 7,579.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.