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Finding the Fourth Proportional to 12,866.74, 19,287.78 and 4,095.94

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Solution

The fourth proportional to 12,866.74, 19,287.78 and 4,095.94 is: 6,139.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,866.74 : 19,287.78 = 4,095.94 : x
  2. Step 2: Convert to fraction form
    12,866.74/19,287.78 = 4,095.94/x
  3. Step 3: Cross multiply
    12,866.74x = 19,287.78 × 4,095.94
  4. Step 4: Simplify right side
    12,866.74x = 79,001,589.61
  5. Step 5: Solve for x
    x = 79,001,589.61/12,866.74
  6. Step 6: Final answer
    x = 6,139.98

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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.