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Finding the Fourth Proportional to 10,990, 15,166.26 and 5,954.26

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Solution

The fourth proportional to 10,990, 15,166.26 and 5,954.26 is: 8,216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990 : 15,166.26 = 5,954.26 : x
  2. Step 2: Convert to fraction form
    10,990/15,166.26 = 5,954.26/x
  3. Step 3: Cross multiply
    10,990x = 15,166.26 × 5,954.26
  4. Step 4: Simplify right side
    10,990x = 90,303,855.27
  5. Step 5: Solve for x
    x = 90,303,855.27/10,990
  6. Step 6: Final answer
    x = 8,216.91

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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.