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Finding the Fourth Proportional to 13,364.91, 18,441.68 and 7,396.50

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Solution

The fourth proportional to 13,364.91, 18,441.68 and 7,396.50 is: 10,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.91 : 18,441.68 = 7,396.50 : x
  2. Step 2: Convert to fraction form
    13,364.91/18,441.68 = 7,396.50/x
  3. Step 3: Cross multiply
    13,364.91x = 18,441.68 × 7,396.50
  4. Step 4: Simplify right side
    13,364.91x = 136,403,849.14
  5. Step 5: Solve for x
    x = 136,403,849.14/13,364.91
  6. Step 6: Final answer
    x = 10,206.12

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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.