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Finding the Fourth Proportional to 7,799.76, 11,708.64 and 6,161.76

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Solution

The fourth proportional to 7,799.76, 11,708.64 and 6,161.76 is: 9,249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,799.76 : 11,708.64 = 6,161.76 : x
  2. Step 2: Convert to fraction form
    7,799.76/11,708.64 = 6,161.76/x
  3. Step 3: Cross multiply
    7,799.76x = 11,708.64 × 6,161.76
  4. Step 4: Simplify right side
    7,799.76x = 72,145,829.61
  5. Step 5: Solve for x
    x = 72,145,829.61/7,799.76
  6. Step 6: Final answer
    x = 9,249.75

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1.5x scale

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.