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Finding the Fourth Proportional to 1,984.22, 2,976.74 and 751.60

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Solution

The fourth proportional to 1,984.22, 2,976.74 and 751.60 is: 1,127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.22 : 2,976.74 = 751.60 : x
  2. Step 2: Convert to fraction form
    1,984.22/2,976.74 = 751.60/x
  3. Step 3: Cross multiply
    1,984.22x = 2,976.74 × 751.60
  4. Step 4: Simplify right side
    1,984.22x = 2,237,299.14
  5. Step 5: Solve for x
    x = 2,237,299.14/1,984.22
  6. Step 6: Final answer
    x = 1,127.55

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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.