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Finding the Fourth Proportional to 12,216, 16,858.46 and 6,910.70

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Solution

The fourth proportional to 12,216, 16,858.46 and 6,910.70 is: 9,536.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216 : 16,858.46 = 6,910.70 : x
  2. Step 2: Convert to fraction form
    12,216/16,858.46 = 6,910.70/x
  3. Step 3: Cross multiply
    12,216x = 16,858.46 × 6,910.70
  4. Step 4: Simplify right side
    12,216x = 116,503,759.52
  5. Step 5: Solve for x
    x = 116,503,759.52/12,216
  6. Step 6: Final answer
    x = 9,536.98

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