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Finding the Fourth Proportional to 12,152, 16,768.50 and 7,115.96

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Solution

The fourth proportional to 12,152, 16,768.50 and 7,115.96 is: 9,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152 : 16,768.50 = 7,115.96 : x
  2. Step 2: Convert to fraction form
    12,152/16,768.50 = 7,115.96/x
  3. Step 3: Cross multiply
    12,152x = 16,768.50 × 7,115.96
  4. Step 4: Simplify right side
    12,152x = 119,323,975.26
  5. Step 5: Solve for x
    x = 119,323,975.26/12,152
  6. Step 6: Final answer
    x = 9,819.29

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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.