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Finding the Fourth Proportional to 2,761.95, 3,811.49 and 1,503.00

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Solution

The fourth proportional to 2,761.95, 3,811.49 and 1,503.00 is: 2,074.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.95 : 3,811.49 = 1,503.00 : x
  2. Step 2: Convert to fraction form
    2,761.95/3,811.49 = 1,503.00/x
  3. Step 3: Cross multiply
    2,761.95x = 3,811.49 × 1,503.00
  4. Step 4: Simplify right side
    2,761.95x = 5,728,683.19
  5. Step 5: Solve for x
    x = 5,728,683.19/2,761.95
  6. Step 6: Final answer
    x = 2,074.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.