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Finding the Fourth Proportional to 13,516.50, 20,277.99 and 4,282.50

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Solution

The fourth proportional to 13,516.50, 20,277.99 and 4,282.50 is: 6,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.50 : 20,277.99 = 4,282.50 : x
  2. Step 2: Convert to fraction form
    13,516.50/20,277.99 = 4,282.50/x
  3. Step 3: Cross multiply
    13,516.50x = 20,277.99 × 4,282.50
  4. Step 4: Simplify right side
    13,516.50x = 86,840,492.18
  5. Step 5: Solve for x
    x = 86,840,492.18/13,516.50
  6. Step 6: Final answer
    x = 6,424.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.