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Finding the Fourth Proportional to 38.37, 53.01 and 37.83

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Solution

The fourth proportional to 38.37, 53.01 and 37.83 is: 52.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.37 : 53.01 = 37.83 : x
  2. Step 2: Convert to fraction form
    38.37/53.01 = 37.83/x
  3. Step 3: Cross multiply
    38.37x = 53.01 × 37.83
  4. Step 4: Simplify right side
    38.37x = 2,005.37
  5. Step 5: Solve for x
    x = 2,005.37/38.37
  6. Step 6: Final answer
    x = 52.26

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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.