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Finding the Fourth Proportional to 12,150, 16,765.74 and 7,113.96

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Solution

The fourth proportional to 12,150, 16,765.74 and 7,113.96 is: 9,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150 : 16,765.74 = 7,113.96 : x
  2. Step 2: Convert to fraction form
    12,150/16,765.74 = 7,113.96/x
  3. Step 3: Cross multiply
    12,150x = 16,765.74 × 7,113.96
  4. Step 4: Simplify right side
    12,150x = 119,270,803.73
  5. Step 5: Solve for x
    x = 119,270,803.73/12,150
  6. Step 6: Final answer
    x = 9,816.53

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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.