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Finding the Fourth Proportional to 7.71, 11.50 and 7.03

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Solution

The fourth proportional to 7.71, 11.50 and 7.03 is: 10.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.71 : 11.50 = 7.03 : x
  2. Step 2: Convert to fraction form
    7.71/11.50 = 7.03/x
  3. Step 3: Cross multiply
    7.71x = 11.50 × 7.03
  4. Step 4: Simplify right side
    7.71x = 80.88
  5. Step 5: Solve for x
    x = 80.88/7.71
  6. Step 6: Final answer
    x = 10.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.