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Finding the Fourth Proportional to 9.13, 12.60 and 6.25

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Solution

The fourth proportional to 9.13, 12.60 and 6.25 is: 8.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.13 : 12.60 = 6.25 : x
  2. Step 2: Convert to fraction form
    9.13/12.60 = 6.25/x
  3. Step 3: Cross multiply
    9.13x = 12.60 × 6.25
  4. Step 4: Simplify right side
    9.13x = 78.75
  5. Step 5: Solve for x
    x = 78.75/9.13
  6. Step 6: Final answer
    x = 8.63

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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.