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Finding the Fourth Proportional to 6.11, 8.40 and 5.03

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Solution

The fourth proportional to 6.11, 8.40 and 5.03 is: 6.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.11 : 8.40 = 5.03 : x
  2. Step 2: Convert to fraction form
    6.11/8.40 = 5.03/x
  3. Step 3: Cross multiply
    6.11x = 8.40 × 5.03
  4. Step 4: Simplify right side
    6.11x = 42.21
  5. Step 5: Solve for x
    x = 42.21/6.11
  6. Step 6: Final answer
    x = 6.91

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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.