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Finding the Fourth Proportional to 8,005.53, 11,053.49 and 5,174.58

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Solution

The fourth proportional to 8,005.53, 11,053.49 and 5,174.58 is: 7,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.53 : 11,053.49 = 5,174.58 : x
  2. Step 2: Convert to fraction form
    8,005.53/11,053.49 = 5,174.58/x
  3. Step 3: Cross multiply
    8,005.53x = 11,053.49 × 5,174.58
  4. Step 4: Simplify right side
    8,005.53x = 57,197,168.28
  5. Step 5: Solve for x
    x = 57,197,168.28/8,005.53
  6. Step 6: Final answer
    x = 7,144.71

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1.5x scale

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.