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Finding the Fourth Proportional to 9,111.87, 13,666.80 and 2,448.93

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Solution

The fourth proportional to 9,111.87, 13,666.80 and 2,448.93 is: 3,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.87 : 13,666.80 = 2,448.93 : x
  2. Step 2: Convert to fraction form
    9,111.87/13,666.80 = 2,448.93/x
  3. Step 3: Cross multiply
    9,111.87x = 13,666.80 × 2,448.93
  4. Step 4: Simplify right side
    9,111.87x = 33,469,036.52
  5. Step 5: Solve for x
    x = 33,469,036.52/9,111.87
  6. Step 6: Final answer
    x = 3,673.12

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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.