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Finding the Fourth Proportional to 7,717.88, 11,574.40 and 2,786.88

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Solution

The fourth proportional to 7,717.88, 11,574.40 and 2,786.88 is: 4,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.88 : 11,574.40 = 2,786.88 : x
  2. Step 2: Convert to fraction form
    7,717.88/11,574.40 = 2,786.88/x
  3. Step 3: Cross multiply
    7,717.88x = 11,574.40 × 2,786.88
  4. Step 4: Simplify right side
    7,717.88x = 32,256,463.87
  5. Step 5: Solve for x
    x = 32,256,463.87/7,717.88
  6. Step 6: Final answer
    x = 4,179.45

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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.