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Finding the Fourth Proportional to 6.52, 9.78 and 2.01

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Solution

The fourth proportional to 6.52, 9.78 and 2.01 is: 3.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.52 : 9.78 = 2.01 : x
  2. Step 2: Convert to fraction form
    6.52/9.78 = 2.01/x
  3. Step 3: Cross multiply
    6.52x = 9.78 × 2.01
  4. Step 4: Simplify right side
    6.52x = 19.65
  5. Step 5: Solve for x
    x = 19.65/6.52
  6. Step 6: Final answer
    x = 3.01

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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.