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Finding the Fourth Proportional to 9.75, 14.63 and 7.77

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Solution

The fourth proportional to 9.75, 14.63 and 7.77 is: 11.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.75 : 14.63 = 7.77 : x
  2. Step 2: Convert to fraction form
    9.75/14.63 = 7.77/x
  3. Step 3: Cross multiply
    9.75x = 14.63 × 7.77
  4. Step 4: Simplify right side
    9.75x = 113.64
  5. Step 5: Solve for x
    x = 113.64/9.75
  6. Step 6: Final answer
    x = 11.66

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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.