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Finding the Fourth Proportional to 7.65, 11.47 and 4.27

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Solution

The fourth proportional to 7.65, 11.47 and 4.27 is: 6.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.65 : 11.47 = 4.27 : x
  2. Step 2: Convert to fraction form
    7.65/11.47 = 4.27/x
  3. Step 3: Cross multiply
    7.65x = 11.47 × 4.27
  4. Step 4: Simplify right side
    7.65x = 49.01
  5. Step 5: Solve for x
    x = 49.01/7.65
  6. Step 6: Final answer
    x = 6.40

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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.