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Finding the Fourth Proportional to 4,758.56, 7,136.56 and 1,680.16

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Solution

The fourth proportional to 4,758.56, 7,136.56 and 1,680.16 is: 2,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.56 : 7,136.56 = 1,680.16 : x
  2. Step 2: Convert to fraction form
    4,758.56/7,136.56 = 1,680.16/x
  3. Step 3: Cross multiply
    4,758.56x = 7,136.56 × 1,680.16
  4. Step 4: Simplify right side
    4,758.56x = 11,990,562.65
  5. Step 5: Solve for x
    x = 11,990,562.65/4,758.56
  6. Step 6: Final answer
    x = 2,519.79

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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.