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Finding the Fourth Proportional to 12,214.41, 16,854.93 and 7,178.82

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Solution

The fourth proportional to 12,214.41, 16,854.93 and 7,178.82 is: 9,906.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.41 : 16,854.93 = 7,178.82 : x
  2. Step 2: Convert to fraction form
    12,214.41/16,854.93 = 7,178.82/x
  3. Step 3: Cross multiply
    12,214.41x = 16,854.93 × 7,178.82
  4. Step 4: Simplify right side
    12,214.41x = 120,998,508.58
  5. Step 5: Solve for x
    x = 120,998,508.58/12,214.41
  6. Step 6: Final answer
    x = 9,906.21

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1.5x scale

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.