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Finding the Fourth Proportional to 7.15, 9.86 and 4.23

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Solution

The fourth proportional to 7.15, 9.86 and 4.23 is: 5.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.15 : 9.86 = 4.23 : x
  2. Step 2: Convert to fraction form
    7.15/9.86 = 4.23/x
  3. Step 3: Cross multiply
    7.15x = 9.86 × 4.23
  4. Step 4: Simplify right side
    7.15x = 41.74
  5. Step 5: Solve for x
    x = 41.74/7.15
  6. Step 6: Final answer
    x = 5.84

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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.