Home / 2,284.24-3,430.80-2,181.60

Finding the Fourth Proportional to 2,284.24, 3,430.80 and 2,181.60

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Solution

The fourth proportional to 2,284.24, 3,430.80 and 2,181.60 is: 3,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.24 : 3,430.80 = 2,181.60 : x
  2. Step 2: Convert to fraction form
    2,284.24/3,430.80 = 2,181.60/x
  3. Step 3: Cross multiply
    2,284.24x = 3,430.80 × 2,181.60
  4. Step 4: Simplify right side
    2,284.24x = 7,484,633.28
  5. Step 5: Solve for x
    x = 7,484,633.28/2,284.24
  6. Step 6: Final answer
    x = 3,276.64

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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.