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Finding the Fourth Proportional to 47.94, 71.10 and 47.55

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Solution

The fourth proportional to 47.94, 71.10 and 47.55 is: 70.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.94 : 71.10 = 47.55 : x
  2. Step 2: Convert to fraction form
    47.94/71.10 = 47.55/x
  3. Step 3: Cross multiply
    47.94x = 71.10 × 47.55
  4. Step 4: Simplify right side
    47.94x = 3,380.81
  5. Step 5: Solve for x
    x = 3,380.81/47.94
  6. Step 6: Final answer
    x = 70.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.