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Finding the Fourth Proportional to 39.02, 53.72 and 33.83

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Solution

The fourth proportional to 39.02, 53.72 and 33.83 is: 46.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.02 : 53.72 = 33.83 : x
  2. Step 2: Convert to fraction form
    39.02/53.72 = 33.83/x
  3. Step 3: Cross multiply
    39.02x = 53.72 × 33.83
  4. Step 4: Simplify right side
    39.02x = 1,817.08
  5. Step 5: Solve for x
    x = 1,817.08/39.02
  6. Step 6: Final answer
    x = 46.57

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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.