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Finding the Fourth Proportional to 9.10, 12.55 and 5.65

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Solution

The fourth proportional to 9.10, 12.55 and 5.65 is: 7.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.10 : 12.55 = 5.65 : x
  2. Step 2: Convert to fraction form
    9.10/12.55 = 5.65/x
  3. Step 3: Cross multiply
    9.10x = 12.55 × 5.65
  4. Step 4: Simplify right side
    9.10x = 70.84
  5. Step 5: Solve for x
    x = 70.84/9.10
  6. Step 6: Final answer
    x = 7.79

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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.