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Finding the Fourth Proportional to 11,758.40, 17,623.20 and 5,177.60

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Solution

The fourth proportional to 11,758.40, 17,623.20 and 5,177.60 is: 7,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.40 : 17,623.20 = 5,177.60 : x
  2. Step 2: Convert to fraction form
    11,758.40/17,623.20 = 5,177.60/x
  3. Step 3: Cross multiply
    11,758.40x = 17,623.20 × 5,177.60
  4. Step 4: Simplify right side
    11,758.40x = 91,245,880.32
  5. Step 5: Solve for x
    x = 91,245,880.32/11,758.40
  6. Step 6: Final answer
    x = 7,760.06

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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.