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Finding the Fourth Proportional to 11,830.40, 17,731.20 and 5,249.60

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Solution

The fourth proportional to 11,830.40, 17,731.20 and 5,249.60 is: 7,868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.40 : 17,731.20 = 5,249.60 : x
  2. Step 2: Convert to fraction form
    11,830.40/17,731.20 = 5,249.60/x
  3. Step 3: Cross multiply
    11,830.40x = 17,731.20 × 5,249.60
  4. Step 4: Simplify right side
    11,830.40x = 93,081,707.52
  5. Step 5: Solve for x
    x = 93,081,707.52/11,830.40
  6. Step 6: Final answer
    x = 7,868.01

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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.