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Finding the Fourth Proportional to 48, 65.82 and 47.37

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Solution

The fourth proportional to 48, 65.82 and 47.37 is: 64.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48 : 65.82 = 47.37 : x
  2. Step 2: Convert to fraction form
    48/65.82 = 47.37/x
  3. Step 3: Cross multiply
    48x = 65.82 × 47.37
  4. Step 4: Simplify right side
    48x = 3,117.89
  5. Step 5: Solve for x
    x = 3,117.89/48
  6. Step 6: Final answer
    x = 64.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.