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Finding the Fourth Proportional to 7.48, 10.34 and 6.87

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Solution

The fourth proportional to 7.48, 10.34 and 6.87 is: 9.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.48 : 10.34 = 6.87 : x
  2. Step 2: Convert to fraction form
    7.48/10.34 = 6.87/x
  3. Step 3: Cross multiply
    7.48x = 10.34 × 6.87
  4. Step 4: Simplify right side
    7.48x = 71.05
  5. Step 5: Solve for x
    x = 71.05/7.48
  6. Step 6: Final answer
    x = 9.50

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