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Finding the Fourth Proportional to 8.94, 12.34 and 5.71

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Solution

The fourth proportional to 8.94, 12.34 and 5.71 is: 7.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.94 : 12.34 = 5.71 : x
  2. Step 2: Convert to fraction form
    8.94/12.34 = 5.71/x
  3. Step 3: Cross multiply
    8.94x = 12.34 × 5.71
  4. Step 4: Simplify right side
    8.94x = 70.40
  5. Step 5: Solve for x
    x = 70.40/8.94
  6. Step 6: Final answer
    x = 7.87

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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.