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Finding the Fourth Proportional to 37.63, 56.13 and 37.09

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Solution

The fourth proportional to 37.63, 56.13 and 37.09 is: 55.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.63 : 56.13 = 37.09 : x
  2. Step 2: Convert to fraction form
    37.63/56.13 = 37.09/x
  3. Step 3: Cross multiply
    37.63x = 56.13 × 37.09
  4. Step 4: Simplify right side
    37.63x = 2,081.79
  5. Step 5: Solve for x
    x = 2,081.79/37.63
  6. Step 6: Final answer
    x = 55.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.