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Finding the Fourth Proportional to 12,895, 19,351.14 and 4,687

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Solution

The fourth proportional to 12,895, 19,351.14 and 4,687 is: 7,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,895 : 19,351.14 = 4,687 : x
  2. Step 2: Convert to fraction form
    12,895/19,351.14 = 4,687/x
  3. Step 3: Cross multiply
    12,895x = 19,351.14 × 4,687
  4. Step 4: Simplify right side
    12,895x = 90,698,793.18
  5. Step 5: Solve for x
    x = 90,698,793.18/12,895
  6. Step 6: Final answer
    x = 7,033.64

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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.