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Finding the Fourth Proportional to 12,318, 16,999.32 and 7,013.76

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Solution

The fourth proportional to 12,318, 16,999.32 and 7,013.76 is: 9,679.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,318 : 16,999.32 = 7,013.76 : x
  2. Step 2: Convert to fraction form
    12,318/16,999.32 = 7,013.76/x
  3. Step 3: Cross multiply
    12,318x = 16,999.32 × 7,013.76
  4. Step 4: Simplify right side
    12,318x = 119,229,150.64
  5. Step 5: Solve for x
    x = 119,229,150.64/12,318
  6. Step 6: Final answer
    x = 9,679.26

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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.