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Finding the Fourth Proportional to 2,782.50, 4,173.75 and 1,243.50

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Solution

The fourth proportional to 2,782.50, 4,173.75 and 1,243.50 is: 1,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.50 : 4,173.75 = 1,243.50 : x
  2. Step 2: Convert to fraction form
    2,782.50/4,173.75 = 1,243.50/x
  3. Step 3: Cross multiply
    2,782.50x = 4,173.75 × 1,243.50
  4. Step 4: Simplify right side
    2,782.50x = 5,190,058.13
  5. Step 5: Solve for x
    x = 5,190,058.13/2,782.50
  6. Step 6: Final answer
    x = 1,865.25

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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.