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Finding the Fourth Proportional to 10.63, 15.92 and 9.75

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Solution

The fourth proportional to 10.63, 15.92 and 9.75 is: 14.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.63 : 15.92 = 9.75 : x
  2. Step 2: Convert to fraction form
    10.63/15.92 = 9.75/x
  3. Step 3: Cross multiply
    10.63x = 15.92 × 9.75
  4. Step 4: Simplify right side
    10.63x = 155.17
  5. Step 5: Solve for x
    x = 155.17/10.63
  6. Step 6: Final answer
    x = 14.60

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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.