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Finding the Fourth Proportional to 7.84, 10.75 and 7.03

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Solution

The fourth proportional to 7.84, 10.75 and 7.03 is: 9.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.84 : 10.75 = 7.03 : x
  2. Step 2: Convert to fraction form
    7.84/10.75 = 7.03/x
  3. Step 3: Cross multiply
    7.84x = 10.75 × 7.03
  4. Step 4: Simplify right side
    7.84x = 75.57
  5. Step 5: Solve for x
    x = 75.57/7.84
  6. Step 6: Final answer
    x = 9.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.