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Finding the Fourth Proportional to 8,052.38, 11,108.50 and 5,695.82

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Solution

The fourth proportional to 8,052.38, 11,108.50 and 5,695.82 is: 7,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.38 : 11,108.50 = 5,695.82 : x
  2. Step 2: Convert to fraction form
    8,052.38/11,108.50 = 5,695.82/x
  3. Step 3: Cross multiply
    8,052.38x = 11,108.50 × 5,695.82
  4. Step 4: Simplify right side
    8,052.38x = 63,271,946.69
  5. Step 5: Solve for x
    x = 63,271,946.69/8,052.38
  6. Step 6: Final answer
    x = 7,857.55

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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.