Home / 2,782.20-4,165.02-1,683.23

Finding the Fourth Proportional to 2,782.20, 4,165.02 and 1,683.23

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Solution

The fourth proportional to 2,782.20, 4,165.02 and 1,683.23 is: 2,519.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.20 : 4,165.02 = 1,683.23 : x
  2. Step 2: Convert to fraction form
    2,782.20/4,165.02 = 1,683.23/x
  3. Step 3: Cross multiply
    2,782.20x = 4,165.02 × 1,683.23
  4. Step 4: Simplify right side
    2,782.20x = 7,010,686.61
  5. Step 5: Solve for x
    x = 7,010,686.61/2,782.20
  6. Step 6: Final answer
    x = 2,519.84

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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.