Home / 2,782.84-4,175.00-1,223.19

Finding the Fourth Proportional to 2,782.84, 4,175.00 and 1,223.19

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Solution

The fourth proportional to 2,782.84, 4,175.00 and 1,223.19 is: 1,835.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.84 : 4,175.00 = 1,223.19 : x
  2. Step 2: Convert to fraction form
    2,782.84/4,175.00 = 1,223.19/x
  3. Step 3: Cross multiply
    2,782.84x = 4,175.00 × 1,223.19
  4. Step 4: Simplify right side
    2,782.84x = 5,106,812.13
  5. Step 5: Solve for x
    x = 5,106,812.13/2,782.84
  6. Step 6: Final answer
    x = 1,835.11

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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.