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Finding the Fourth Proportional to 11,145.70, 16,717.02 and 7,803.82

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Solution

The fourth proportional to 11,145.70, 16,717.02 and 7,803.82 is: 11,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.70 : 16,717.02 = 7,803.82 : x
  2. Step 2: Convert to fraction form
    11,145.70/16,717.02 = 7,803.82/x
  3. Step 3: Cross multiply
    11,145.70x = 16,717.02 × 7,803.82
  4. Step 4: Simplify right side
    11,145.70x = 130,456,615.02
  5. Step 5: Solve for x
    x = 130,456,615.02/11,145.70
  6. Step 6: Final answer
    x = 11,704.66

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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.