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Finding the Fourth Proportional to 12,506, 17,258.82 and 6,917

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Solution

The fourth proportional to 12,506, 17,258.82 and 6,917 is: 9,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506 : 17,258.82 = 6,917 : x
  2. Step 2: Convert to fraction form
    12,506/17,258.82 = 6,917/x
  3. Step 3: Cross multiply
    12,506x = 17,258.82 × 6,917
  4. Step 4: Simplify right side
    12,506x = 119,379,257.94
  5. Step 5: Solve for x
    x = 119,379,257.94/12,506
  6. Step 6: Final answer
    x = 9,545.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.