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Finding the Fourth Proportional to 7,657.88, 11,489.13 and 2,392.68

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Solution

The fourth proportional to 7,657.88, 11,489.13 and 2,392.68 is: 3,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.88 : 11,489.13 = 2,392.68 : x
  2. Step 2: Convert to fraction form
    7,657.88/11,489.13 = 2,392.68/x
  3. Step 3: Cross multiply
    7,657.88x = 11,489.13 × 2,392.68
  4. Step 4: Simplify right side
    7,657.88x = 27,489,811.57
  5. Step 5: Solve for x
    x = 27,489,811.57/7,657.88
  6. Step 6: Final answer
    x = 3,589.74

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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.