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Finding the Fourth Proportional to 13,993.60, 19,310.72 and 7,705.92

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Solution

The fourth proportional to 13,993.60, 19,310.72 and 7,705.92 is: 10,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.60 : 19,310.72 = 7,705.92 : x
  2. Step 2: Convert to fraction form
    13,993.60/19,310.72 = 7,705.92/x
  3. Step 3: Cross multiply
    13,993.60x = 19,310.72 × 7,705.92
  4. Step 4: Simplify right side
    13,993.60x = 148,806,863.46
  5. Step 5: Solve for x
    x = 148,806,863.46/13,993.60
  6. Step 6: Final answer
    x = 10,633.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.