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Finding the Fourth Proportional to 13,696.26, 18,900.84 and 7,408.64

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Solution

The fourth proportional to 13,696.26, 18,900.84 and 7,408.64 is: 10,223.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.26 : 18,900.84 = 7,408.64 : x
  2. Step 2: Convert to fraction form
    13,696.26/18,900.84 = 7,408.64/x
  3. Step 3: Cross multiply
    13,696.26x = 18,900.84 × 7,408.64
  4. Step 4: Simplify right side
    13,696.26x = 140,029,490.53
  5. Step 5: Solve for x
    x = 140,029,490.53/13,696.26
  6. Step 6: Final answer
    x = 10,223.92

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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.