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Finding the Fourth Proportional to 2,813.50, 4,220.26 and 761.50

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Solution

The fourth proportional to 2,813.50, 4,220.26 and 761.50 is: 1,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.50 : 4,220.26 = 761.50 : x
  2. Step 2: Convert to fraction form
    2,813.50/4,220.26 = 761.50/x
  3. Step 3: Cross multiply
    2,813.50x = 4,220.26 × 761.50
  4. Step 4: Simplify right side
    2,813.50x = 3,213,727.99
  5. Step 5: Solve for x
    x = 3,213,727.99/2,813.50
  6. Step 6: Final answer
    x = 1,142.25

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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.