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Finding the Fourth Proportional to 12,917, 19,378.38 and 4,709

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Solution

The fourth proportional to 12,917, 19,378.38 and 4,709 is: 7,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917 : 19,378.38 = 4,709 : x
  2. Step 2: Convert to fraction form
    12,917/19,378.38 = 4,709/x
  3. Step 3: Cross multiply
    12,917x = 19,378.38 × 4,709
  4. Step 4: Simplify right side
    12,917x = 91,252,791.42
  5. Step 5: Solve for x
    x = 91,252,791.42/12,917
  6. Step 6: Final answer
    x = 7,064.55

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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.