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Finding the Fourth Proportional to 11,137.57, 15,371.22 and 6,890.65

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Solution

The fourth proportional to 11,137.57, 15,371.22 and 6,890.65 is: 9,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.57 : 15,371.22 = 6,890.65 : x
  2. Step 2: Convert to fraction form
    11,137.57/15,371.22 = 6,890.65/x
  3. Step 3: Cross multiply
    11,137.57x = 15,371.22 × 6,890.65
  4. Step 4: Simplify right side
    11,137.57x = 105,917,697.09
  5. Step 5: Solve for x
    x = 105,917,697.09/11,137.57
  6. Step 6: Final answer
    x = 9,509.95

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1.5x scale

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.