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Finding the Fourth Proportional to 12,680, 19,026.54 and 5,662.16

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Solution

The fourth proportional to 12,680, 19,026.54 and 5,662.16 is: 8,496.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680 : 19,026.54 = 5,662.16 : x
  2. Step 2: Convert to fraction form
    12,680/19,026.54 = 5,662.16/x
  3. Step 3: Cross multiply
    12,680x = 19,026.54 × 5,662.16
  4. Step 4: Simplify right side
    12,680x = 107,731,313.73
  5. Step 5: Solve for x
    x = 107,731,313.73/12,680
  6. Step 6: Final answer
    x = 8,496.16

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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.