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Finding the Fourth Proportional to 7,185.65, 10,778.53 and 2,505.65

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Solution

The fourth proportional to 7,185.65, 10,778.53 and 2,505.65 is: 3,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.65 : 10,778.53 = 2,505.65 : x
  2. Step 2: Convert to fraction form
    7,185.65/10,778.53 = 2,505.65/x
  3. Step 3: Cross multiply
    7,185.65x = 10,778.53 × 2,505.65
  4. Step 4: Simplify right side
    7,185.65x = 27,007,228.87
  5. Step 5: Solve for x
    x = 27,007,228.87/7,185.65
  6. Step 6: Final answer
    x = 3,758.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.