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Finding the Fourth Proportional to 7,801.74, 11,674.80 and 6,251.70

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Solution

The fourth proportional to 7,801.74, 11,674.80 and 6,251.70 is: 9,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.74 : 11,674.80 = 6,251.70 : x
  2. Step 2: Convert to fraction form
    7,801.74/11,674.80 = 6,251.70/x
  3. Step 3: Cross multiply
    7,801.74x = 11,674.80 × 6,251.70
  4. Step 4: Simplify right side
    7,801.74x = 72,987,347.16
  5. Step 5: Solve for x
    x = 72,987,347.16/7,801.74
  6. Step 6: Final answer
    x = 9,355.27

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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.