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Finding the Fourth Proportional to 12,873.14, 19,272.15 and 7,927.94

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Solution

The fourth proportional to 12,873.14, 19,272.15 and 7,927.94 is: 11,868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.14 : 19,272.15 = 7,927.94 : x
  2. Step 2: Convert to fraction form
    12,873.14/19,272.15 = 7,927.94/x
  3. Step 3: Cross multiply
    12,873.14x = 19,272.15 × 7,927.94
  4. Step 4: Simplify right side
    12,873.14x = 152,788,448.87
  5. Step 5: Solve for x
    x = 152,788,448.87/12,873.14
  6. Step 6: Final answer
    x = 11,868.78

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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.