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Finding the Fourth Proportional to 12,314.46, 16,992 and 7,009.38

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Solution

The fourth proportional to 12,314.46, 16,992 and 7,009.38 is: 9,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.46 : 16,992 = 7,009.38 : x
  2. Step 2: Convert to fraction form
    12,314.46/16,992 = 7,009.38/x
  3. Step 3: Cross multiply
    12,314.46x = 16,992 × 7,009.38
  4. Step 4: Simplify right side
    12,314.46x = 119,103,384.96
  5. Step 5: Solve for x
    x = 119,103,384.96/12,314.46
  6. Step 6: Final answer
    x = 9,671.83

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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.