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Finding the Fourth Proportional to 8.34, 11.50 and 6.52

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Solution

The fourth proportional to 8.34, 11.50 and 6.52 is: 8.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.34 : 11.50 = 6.52 : x
  2. Step 2: Convert to fraction form
    8.34/11.50 = 6.52/x
  3. Step 3: Cross multiply
    8.34x = 11.50 × 6.52
  4. Step 4: Simplify right side
    8.34x = 75.01
  5. Step 5: Solve for x
    x = 75.01/8.34
  6. Step 6: Final answer
    x = 8.99

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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.