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Finding the Fourth Proportional to 2,782, 4,164.68 and 1,683.04

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Solution

The fourth proportional to 2,782, 4,164.68 and 1,683.04 is: 2,519.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782 : 4,164.68 = 1,683.04 : x
  2. Step 2: Convert to fraction form
    2,782/4,164.68 = 1,683.04/x
  3. Step 3: Cross multiply
    2,782x = 4,164.68 × 1,683.04
  4. Step 4: Simplify right side
    2,782x = 7,009,323.03
  5. Step 5: Solve for x
    x = 7,009,323.03/2,782
  6. Step 6: Final answer
    x = 2,519.53

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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.