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Finding the Fourth Proportional to 13,554, 18,699.30 and 8,516.16

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Solution

The fourth proportional to 13,554, 18,699.30 and 8,516.16 is: 11,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,554 : 18,699.30 = 8,516.16 : x
  2. Step 2: Convert to fraction form
    13,554/18,699.30 = 8,516.16/x
  3. Step 3: Cross multiply
    13,554x = 18,699.30 × 8,516.16
  4. Step 4: Simplify right side
    13,554x = 159,246,230.69
  5. Step 5: Solve for x
    x = 159,246,230.69/13,554
  6. Step 6: Final answer
    x = 11,749.02

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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.