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Finding the Fourth Proportional to 2,483.81, 3,431.81 and 2,069.09

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Solution

The fourth proportional to 2,483.81, 3,431.81 and 2,069.09 is: 2,858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.81 : 3,431.81 = 2,069.09 : x
  2. Step 2: Convert to fraction form
    2,483.81/3,431.81 = 2,069.09/x
  3. Step 3: Cross multiply
    2,483.81x = 3,431.81 × 2,069.09
  4. Step 4: Simplify right side
    2,483.81x = 7,100,713.41
  5. Step 5: Solve for x
    x = 7,100,713.41/2,483.81
  6. Step 6: Final answer
    x = 2,858.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.