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Finding the Fourth Proportional to 11,386.90, 17,076.30 and 5,149.90

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Solution

The fourth proportional to 11,386.90, 17,076.30 and 5,149.90 is: 7,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.90 : 17,076.30 = 5,149.90 : x
  2. Step 2: Convert to fraction form
    11,386.90/17,076.30 = 5,149.90/x
  3. Step 3: Cross multiply
    11,386.90x = 17,076.30 × 5,149.90
  4. Step 4: Simplify right side
    11,386.90x = 87,941,237.37
  5. Step 5: Solve for x
    x = 87,941,237.37/11,386.90
  6. Step 6: Final answer
    x = 7,723.02

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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.