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Finding the Fourth Proportional to 10.54, 15.83 and 9.75

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Solution

The fourth proportional to 10.54, 15.83 and 9.75 is: 14.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.54 : 15.83 = 9.75 : x
  2. Step 2: Convert to fraction form
    10.54/15.83 = 9.75/x
  3. Step 3: Cross multiply
    10.54x = 15.83 × 9.75
  4. Step 4: Simplify right side
    10.54x = 154.34
  5. Step 5: Solve for x
    x = 154.34/10.54
  6. Step 6: Final answer
    x = 14.64

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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.