Home / 2,291.42-3,428.91-1,984.32

Finding the Fourth Proportional to 2,291.42, 3,428.91 and 1,984.32

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Solution

The fourth proportional to 2,291.42, 3,428.91 and 1,984.32 is: 2,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.42 : 3,428.91 = 1,984.32 : x
  2. Step 2: Convert to fraction form
    2,291.42/3,428.91 = 1,984.32/x
  3. Step 3: Cross multiply
    2,291.42x = 3,428.91 × 1,984.32
  4. Step 4: Simplify right side
    2,291.42x = 6,804,054.69
  5. Step 5: Solve for x
    x = 6,804,054.69/2,291.42
  6. Step 6: Final answer
    x = 2,969.37

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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.