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Finding the Fourth Proportional to 31.53, 47.30 and 10.97

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Solution

The fourth proportional to 31.53, 47.30 and 10.97 is: 16.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.53 : 47.30 = 10.97 : x
  2. Step 2: Convert to fraction form
    31.53/47.30 = 10.97/x
  3. Step 3: Cross multiply
    31.53x = 47.30 × 10.97
  4. Step 4: Simplify right side
    31.53x = 518.77
  5. Step 5: Solve for x
    x = 518.77/31.53
  6. Step 6: Final answer
    x = 16.45

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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.