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Finding the Fourth Proportional to 12,042, 18,096.96 and 7,113.84

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Solution

The fourth proportional to 12,042, 18,096.96 and 7,113.84 is: 10,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042 : 18,096.96 = 7,113.84 : x
  2. Step 2: Convert to fraction form
    12,042/18,096.96 = 7,113.84/x
  3. Step 3: Cross multiply
    12,042x = 18,096.96 × 7,113.84
  4. Step 4: Simplify right side
    12,042x = 128,738,877.93
  5. Step 5: Solve for x
    x = 128,738,877.93/12,042
  6. Step 6: Final answer
    x = 10,690.82

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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.