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Finding the Fourth Proportional to 11,144.99, 15,377.01 and 6,894

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Solution

The fourth proportional to 11,144.99, 15,377.01 and 6,894 is: 9,511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.99 : 15,377.01 = 6,894 : x
  2. Step 2: Convert to fraction form
    11,144.99/15,377.01 = 6,894/x
  3. Step 3: Cross multiply
    11,144.99x = 15,377.01 × 6,894
  4. Step 4: Simplify right side
    11,144.99x = 106,009,106.94
  5. Step 5: Solve for x
    x = 106,009,106.94/11,144.99
  6. Step 6: Final answer
    x = 9,511.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.