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Finding the Fourth Proportional to 5.69, 7.83 and 5.09

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Solution

The fourth proportional to 5.69, 7.83 and 5.09 is: 7.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.69 : 7.83 = 5.09 : x
  2. Step 2: Convert to fraction form
    5.69/7.83 = 5.09/x
  3. Step 3: Cross multiply
    5.69x = 7.83 × 5.09
  4. Step 4: Simplify right side
    5.69x = 39.82
  5. Step 5: Solve for x
    x = 39.82/5.69
  6. Step 6: Final answer
    x = 7.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.