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Finding the Fourth Proportional to 9,191.98, 13,781.25 and 2,948.44

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Solution

The fourth proportional to 9,191.98, 13,781.25 and 2,948.44 is: 4,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.98 : 13,781.25 = 2,948.44 : x
  2. Step 2: Convert to fraction form
    9,191.98/13,781.25 = 2,948.44/x
  3. Step 3: Cross multiply
    9,191.98x = 13,781.25 × 2,948.44
  4. Step 4: Simplify right side
    9,191.98x = 40,633,188.75
  5. Step 5: Solve for x
    x = 40,633,188.75/9,191.98
  6. Step 6: Final answer
    x = 4,420.50

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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.