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Finding the Fourth Proportional to 9.59, 14.38 and 6.37

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Solution

The fourth proportional to 9.59, 14.38 and 6.37 is: 9.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.59 : 14.38 = 6.37 : x
  2. Step 2: Convert to fraction form
    9.59/14.38 = 6.37/x
  3. Step 3: Cross multiply
    9.59x = 14.38 × 6.37
  4. Step 4: Simplify right side
    9.59x = 91.66
  5. Step 5: Solve for x
    x = 91.66/9.59
  6. Step 6: Final answer
    x = 9.56

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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.