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Finding the Fourth Proportional to 11,772.25, 17,658.34 and 7,392.78

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Solution

The fourth proportional to 11,772.25, 17,658.34 and 7,392.78 is: 11,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.25 : 17,658.34 = 7,392.78 : x
  2. Step 2: Convert to fraction form
    11,772.25/17,658.34 = 7,392.78/x
  3. Step 3: Cross multiply
    11,772.25x = 17,658.34 × 7,392.78
  4. Step 4: Simplify right side
    11,772.25x = 130,544,222.79
  5. Step 5: Solve for x
    x = 130,544,222.79/11,772.25
  6. Step 6: Final answer
    x = 11,089.15

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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.