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Finding the Fourth Proportional to 62.24, 93.37 and 21.12

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Solution

The fourth proportional to 62.24, 93.37 and 21.12 is: 31.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.24 : 93.37 = 21.12 : x
  2. Step 2: Convert to fraction form
    62.24/93.37 = 21.12/x
  3. Step 3: Cross multiply
    62.24x = 93.37 × 21.12
  4. Step 4: Simplify right side
    62.24x = 1,971.65
  5. Step 5: Solve for x
    x = 1,971.65/62.24
  6. Step 6: Final answer
    x = 31.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.