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Finding the Fourth Proportional to 13,664.60, 18,856.96 and 7,696.86

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Solution

The fourth proportional to 13,664.60, 18,856.96 and 7,696.86 is: 10,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.60 : 18,856.96 = 7,696.86 : x
  2. Step 2: Convert to fraction form
    13,664.60/18,856.96 = 7,696.86/x
  3. Step 3: Cross multiply
    13,664.60x = 18,856.96 × 7,696.86
  4. Step 4: Simplify right side
    13,664.60x = 145,139,381.15
  5. Step 5: Solve for x
    x = 145,139,381.15/13,664.60
  6. Step 6: Final answer
    x = 10,621.56

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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.