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Finding the Fourth Proportional to 48.35, 72.51 and 15.84

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Solution

The fourth proportional to 48.35, 72.51 and 15.84 is: 23.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.35 : 72.51 = 15.84 : x
  2. Step 2: Convert to fraction form
    48.35/72.51 = 15.84/x
  3. Step 3: Cross multiply
    48.35x = 72.51 × 15.84
  4. Step 4: Simplify right side
    48.35x = 1,148.56
  5. Step 5: Solve for x
    x = 1,148.56/48.35
  6. Step 6: Final answer
    x = 23.76

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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.