Home / 2,210-3,316.62-1,442.12

Finding the Fourth Proportional to 2,210, 3,316.62 and 1,442.12

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Solution

The fourth proportional to 2,210, 3,316.62 and 1,442.12 is: 2,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210 : 3,316.62 = 1,442.12 : x
  2. Step 2: Convert to fraction form
    2,210/3,316.62 = 1,442.12/x
  3. Step 3: Cross multiply
    2,210x = 3,316.62 × 1,442.12
  4. Step 4: Simplify right side
    2,210x = 4,782,964.03
  5. Step 5: Solve for x
    x = 4,782,964.03/2,210
  6. Step 6: Final answer
    x = 2,164.24

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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.