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Finding the Fourth Proportional to 24.48, 33.74 and 15.72

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Solution

The fourth proportional to 24.48, 33.74 and 15.72 is: 21.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.48 : 33.74 = 15.72 : x
  2. Step 2: Convert to fraction form
    24.48/33.74 = 15.72/x
  3. Step 3: Cross multiply
    24.48x = 33.74 × 15.72
  4. Step 4: Simplify right side
    24.48x = 530.25
  5. Step 5: Solve for x
    x = 530.25/24.48
  6. Step 6: Final answer
    x = 21.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.