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Finding the Fourth Proportional to 7,758.63, 11,622.02 and 5,251.95

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Solution

The fourth proportional to 7,758.63, 11,622.02 and 5,251.95 is: 7,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.63 : 11,622.02 = 5,251.95 : x
  2. Step 2: Convert to fraction form
    7,758.63/11,622.02 = 5,251.95/x
  3. Step 3: Cross multiply
    7,758.63x = 11,622.02 × 5,251.95
  4. Step 4: Simplify right side
    7,758.63x = 61,038,241.68
  5. Step 5: Solve for x
    x = 61,038,241.68/7,758.63
  6. Step 6: Final answer
    x = 7,867.14

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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.