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Finding the Fourth Proportional to 4,820, 7,231.12 and 2,479.12

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Solution

The fourth proportional to 4,820, 7,231.12 and 2,479.12 is: 3,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820 : 7,231.12 = 2,479.12 : x
  2. Step 2: Convert to fraction form
    4,820/7,231.12 = 2,479.12/x
  3. Step 3: Cross multiply
    4,820x = 7,231.12 × 2,479.12
  4. Step 4: Simplify right side
    4,820x = 17,926,814.21
  5. Step 5: Solve for x
    x = 17,926,814.21/4,820
  6. Step 6: Final answer
    x = 3,719.26

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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.