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Finding the Fourth Proportional to 12,687.60, 19,007.10 and 11,812.80

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Solution

The fourth proportional to 12,687.60, 19,007.10 and 11,812.80 is: 17,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.60 : 19,007.10 = 11,812.80 : x
  2. Step 2: Convert to fraction form
    12,687.60/19,007.10 = 11,812.80/x
  3. Step 3: Cross multiply
    12,687.60x = 19,007.10 × 11,812.80
  4. Step 4: Simplify right side
    12,687.60x = 224,527,070.88
  5. Step 5: Solve for x
    x = 224,527,070.88/12,687.60
  6. Step 6: Final answer
    x = 17,696.58

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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.