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Finding the Fourth Proportional to 7.65, 10.50 and 7.55

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Solution

The fourth proportional to 7.65, 10.50 and 7.55 is: 10.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.65 : 10.50 = 7.55 : x
  2. Step 2: Convert to fraction form
    7.65/10.50 = 7.55/x
  3. Step 3: Cross multiply
    7.65x = 10.50 × 7.55
  4. Step 4: Simplify right side
    7.65x = 79.23
  5. Step 5: Solve for x
    x = 79.23/7.65
  6. Step 6: Final answer
    x = 10.36

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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.