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Finding the Fourth Proportional to 10.65, 15.94 and 9.80

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Solution

The fourth proportional to 10.65, 15.94 and 9.80 is: 14.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.65 : 15.94 = 9.80 : x
  2. Step 2: Convert to fraction form
    10.65/15.94 = 9.80/x
  3. Step 3: Cross multiply
    10.65x = 15.94 × 9.80
  4. Step 4: Simplify right side
    10.65x = 156.21
  5. Step 5: Solve for x
    x = 156.21/10.65
  6. Step 6: Final answer
    x = 14.67

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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.