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Finding the Fourth Proportional to 7,713.97, 11,570.88 and 2,168.86

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Solution

The fourth proportional to 7,713.97, 11,570.88 and 2,168.86 is: 3,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.97 : 11,570.88 = 2,168.86 : x
  2. Step 2: Convert to fraction form
    7,713.97/11,570.88 = 2,168.86/x
  3. Step 3: Cross multiply
    7,713.97x = 11,570.88 × 2,168.86
  4. Step 4: Simplify right side
    7,713.97x = 25,095,618.80
  5. Step 5: Solve for x
    x = 25,095,618.80/7,713.97
  6. Step 6: Final answer
    x = 3,253.27

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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.