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Finding the Fourth Proportional to 12,178.58, 16,806.78 and 7,396.91

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Solution

The fourth proportional to 12,178.58, 16,806.78 and 7,396.91 is: 10,207.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.58 : 16,806.78 = 7,396.91 : x
  2. Step 2: Convert to fraction form
    12,178.58/16,806.78 = 7,396.91/x
  3. Step 3: Cross multiply
    12,178.58x = 16,806.78 × 7,396.91
  4. Step 4: Simplify right side
    12,178.58x = 124,318,239.05
  5. Step 5: Solve for x
    x = 124,318,239.05/12,178.58
  6. Step 6: Final answer
    x = 10,207.94

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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.