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Finding the Fourth Proportional to 8,110.64, 11,195.62 and 5,128.50

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Solution

The fourth proportional to 8,110.64, 11,195.62 and 5,128.50 is: 7,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.64 : 11,195.62 = 5,128.50 : x
  2. Step 2: Convert to fraction form
    8,110.64/11,195.62 = 5,128.50/x
  3. Step 3: Cross multiply
    8,110.64x = 11,195.62 × 5,128.50
  4. Step 4: Simplify right side
    8,110.64x = 57,416,737.17
  5. Step 5: Solve for x
    x = 57,416,737.17/8,110.64
  6. Step 6: Final answer
    x = 7,079.19

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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.