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Finding the Fourth Proportional to 47.84, 71.43 and 43.22

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Solution

The fourth proportional to 47.84, 71.43 and 43.22 is: 64.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.84 : 71.43 = 43.22 : x
  2. Step 2: Convert to fraction form
    47.84/71.43 = 43.22/x
  3. Step 3: Cross multiply
    47.84x = 71.43 × 43.22
  4. Step 4: Simplify right side
    47.84x = 3,087.38
  5. Step 5: Solve for x
    x = 3,087.38/47.84
  6. Step 6: Final answer
    x = 64.54

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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.