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Finding the Fourth Proportional to 47.72, 71.54 and 22.02

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Solution

The fourth proportional to 47.72, 71.54 and 22.02 is: 33.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.72 : 71.54 = 22.02 : x
  2. Step 2: Convert to fraction form
    47.72/71.54 = 22.02/x
  3. Step 3: Cross multiply
    47.72x = 71.54 × 22.02
  4. Step 4: Simplify right side
    47.72x = 1,575.31
  5. Step 5: Solve for x
    x = 1,575.31/47.72
  6. Step 6: Final answer
    x = 33.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.