Home / 1,442.23-2,163.80-1,097.22

Finding the Fourth Proportional to 1,442.23, 2,163.80 and 1,097.22

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Solution

The fourth proportional to 1,442.23, 2,163.80 and 1,097.22 is: 1,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.23 : 2,163.80 = 1,097.22 : x
  2. Step 2: Convert to fraction form
    1,442.23/2,163.80 = 1,097.22/x
  3. Step 3: Cross multiply
    1,442.23x = 2,163.80 × 1,097.22
  4. Step 4: Simplify right side
    1,442.23x = 2,374,164.64
  5. Step 5: Solve for x
    x = 2,374,164.64/1,442.23
  6. Step 6: Final answer
    x = 1,646.18

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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.