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Finding the Fourth Proportional to 51.33, 76.63 and 47.58

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Solution

The fourth proportional to 51.33, 76.63 and 47.58 is: 71.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.33 : 76.63 = 47.58 : x
  2. Step 2: Convert to fraction form
    51.33/76.63 = 47.58/x
  3. Step 3: Cross multiply
    51.33x = 76.63 × 47.58
  4. Step 4: Simplify right side
    51.33x = 3,645.94
  5. Step 5: Solve for x
    x = 3,645.94/51.33
  6. Step 6: Final answer
    x = 71.03

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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.