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Finding the Fourth Proportional to 32.78, 48.75 and 32.06

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Solution

The fourth proportional to 32.78, 48.75 and 32.06 is: 47.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.78 : 48.75 = 32.06 : x
  2. Step 2: Convert to fraction form
    32.78/48.75 = 32.06/x
  3. Step 3: Cross multiply
    32.78x = 48.75 × 32.06
  4. Step 4: Simplify right side
    32.78x = 1,562.68
  5. Step 5: Solve for x
    x = 1,562.68/32.78
  6. Step 6: Final answer
    x = 47.68

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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.