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Finding the Fourth Proportional to 9,131.87, 13,699.37 and 2,891.77

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Solution

The fourth proportional to 9,131.87, 13,699.37 and 2,891.77 is: 4,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.87 : 13,699.37 = 2,891.77 : x
  2. Step 2: Convert to fraction form
    9,131.87/13,699.37 = 2,891.77/x
  3. Step 3: Cross multiply
    9,131.87x = 13,699.37 × 2,891.77
  4. Step 4: Simplify right side
    9,131.87x = 39,615,400.17
  5. Step 5: Solve for x
    x = 39,615,400.17/9,131.87
  6. Step 6: Final answer
    x = 4,338.15

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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.