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Finding the Fourth Proportional to 2,803.25, 3,868.49 and 1,561.25

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Solution

The fourth proportional to 2,803.25, 3,868.49 and 1,561.25 is: 2,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.25 : 3,868.49 = 1,561.25 : x
  2. Step 2: Convert to fraction form
    2,803.25/3,868.49 = 1,561.25/x
  3. Step 3: Cross multiply
    2,803.25x = 3,868.49 × 1,561.25
  4. Step 4: Simplify right side
    2,803.25x = 6,039,672.21
  5. Step 5: Solve for x
    x = 6,039,672.21/2,803.25
  6. Step 6: Final answer
    x = 2,154.53

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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.