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Finding the Fourth Proportional to 2,807.34, 4,211.04 and 1,839.60

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Solution

The fourth proportional to 2,807.34, 4,211.04 and 1,839.60 is: 2,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.34 : 4,211.04 = 1,839.60 : x
  2. Step 2: Convert to fraction form
    2,807.34/4,211.04 = 1,839.60/x
  3. Step 3: Cross multiply
    2,807.34x = 4,211.04 × 1,839.60
  4. Step 4: Simplify right side
    2,807.34x = 7,746,629.18
  5. Step 5: Solve for x
    x = 7,746,629.18/2,807.34
  6. Step 6: Final answer
    x = 2,759.42

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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.