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Finding the Fourth Proportional to 11,146.77, 16,720.47 and 3,751.47

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Solution

The fourth proportional to 11,146.77, 16,720.47 and 3,751.47 is: 5,627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.77 : 16,720.47 = 3,751.47 : x
  2. Step 2: Convert to fraction form
    11,146.77/16,720.47 = 3,751.47/x
  3. Step 3: Cross multiply
    11,146.77x = 16,720.47 × 3,751.47
  4. Step 4: Simplify right side
    11,146.77x = 62,726,341.59
  5. Step 5: Solve for x
    x = 62,726,341.59/11,146.77
  6. Step 6: Final answer
    x = 5,627.31

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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.