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Finding the Fourth Proportional to 47.84, 71.40 and 47.44

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Solution

The fourth proportional to 47.84, 71.40 and 47.44 is: 70.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.84 : 71.40 = 47.44 : x
  2. Step 2: Convert to fraction form
    47.84/71.40 = 47.44/x
  3. Step 3: Cross multiply
    47.84x = 71.40 × 47.44
  4. Step 4: Simplify right side
    47.84x = 3,387.22
  5. Step 5: Solve for x
    x = 3,387.22/47.84
  6. Step 6: Final answer
    x = 70.80

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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.