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Finding the Fourth Proportional to 13,516.48, 20,281.68 and 10,228.48

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Solution

The fourth proportional to 13,516.48, 20,281.68 and 10,228.48 is: 15,347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.48 : 20,281.68 = 10,228.48 : x
  2. Step 2: Convert to fraction form
    13,516.48/20,281.68 = 10,228.48/x
  3. Step 3: Cross multiply
    13,516.48x = 20,281.68 × 10,228.48
  4. Step 4: Simplify right side
    13,516.48x = 207,450,758.25
  5. Step 5: Solve for x
    x = 207,450,758.25/13,516.48
  6. Step 6: Final answer
    x = 15,347.99

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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.