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Finding the Fourth Proportional to 9,251.90, 13,877.86 and 5,091.74

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Solution

The fourth proportional to 9,251.90, 13,877.86 and 5,091.74 is: 7,637.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.90 : 13,877.86 = 5,091.74 : x
  2. Step 2: Convert to fraction form
    9,251.90/13,877.86 = 5,091.74/x
  3. Step 3: Cross multiply
    9,251.90x = 13,877.86 × 5,091.74
  4. Step 4: Simplify right side
    9,251.90x = 70,662,454.88
  5. Step 5: Solve for x
    x = 70,662,454.88/9,251.90
  6. Step 6: Final answer
    x = 7,637.62

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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.