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Finding the Fourth Proportional to 14.61, 21.90 and 7.82

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Solution

The fourth proportional to 14.61, 21.90 and 7.82 is: 11.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.61 : 21.90 = 7.82 : x
  2. Step 2: Convert to fraction form
    14.61/21.90 = 7.82/x
  3. Step 3: Cross multiply
    14.61x = 21.90 × 7.82
  4. Step 4: Simplify right side
    14.61x = 171.26
  5. Step 5: Solve for x
    x = 171.26/14.61
  6. Step 6: Final answer
    x = 11.73

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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.