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Finding the Fourth Proportional to 13,110.50, 19,666.42 and 12,446.16

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Solution

The fourth proportional to 13,110.50, 19,666.42 and 12,446.16 is: 18,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,110.50 : 19,666.42 = 12,446.16 : x
  2. Step 2: Convert to fraction form
    13,110.50/19,666.42 = 12,446.16/x
  3. Step 3: Cross multiply
    13,110.50x = 19,666.42 × 12,446.16
  4. Step 4: Simplify right side
    13,110.50x = 244,771,409.95
  5. Step 5: Solve for x
    x = 244,771,409.95/13,110.50
  6. Step 6: Final answer
    x = 18,669.88

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Why These Related Problems?

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