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Finding the Fourth Proportional to 13,696.57, 18,901.32 and 7,408.95

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Solution

The fourth proportional to 13,696.57, 18,901.32 and 7,408.95 is: 10,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.57 : 18,901.32 = 7,408.95 : x
  2. Step 2: Convert to fraction form
    13,696.57/18,901.32 = 7,408.95/x
  3. Step 3: Cross multiply
    13,696.57x = 18,901.32 × 7,408.95
  4. Step 4: Simplify right side
    13,696.57x = 140,038,836.15
  5. Step 5: Solve for x
    x = 140,038,836.15/13,696.57
  6. Step 6: Final answer
    x = 10,224.37

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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.