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Finding the Fourth Proportional to 12,170.66, 18,248.98 and 4,766.46

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Solution

The fourth proportional to 12,170.66, 18,248.98 and 4,766.46 is: 7,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.66 : 18,248.98 = 4,766.46 : x
  2. Step 2: Convert to fraction form
    12,170.66/18,248.98 = 4,766.46/x
  3. Step 3: Cross multiply
    12,170.66x = 18,248.98 × 4,766.46
  4. Step 4: Simplify right side
    12,170.66x = 86,983,033.21
  5. Step 5: Solve for x
    x = 86,983,033.21/12,170.66
  6. Step 6: Final answer
    x = 7,146.94

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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.