Home / 4,057-6,084.15-1,834.45

Finding the Fourth Proportional to 4,057, 6,084.15 and 1,834.45

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Solution

The fourth proportional to 4,057, 6,084.15 and 1,834.45 is: 2,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057 : 6,084.15 = 1,834.45 : x
  2. Step 2: Convert to fraction form
    4,057/6,084.15 = 1,834.45/x
  3. Step 3: Cross multiply
    4,057x = 6,084.15 × 1,834.45
  4. Step 4: Simplify right side
    4,057x = 11,161,068.97
  5. Step 5: Solve for x
    x = 11,161,068.97/4,057
  6. Step 6: Final answer
    x = 2,751.06

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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.