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Finding the Fourth Proportional to 2,803.44, 3,868.64 and 1,561.44

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Solution

The fourth proportional to 2,803.44, 3,868.64 and 1,561.44 is: 2,154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.44 : 3,868.64 = 1,561.44 : x
  2. Step 2: Convert to fraction form
    2,803.44/3,868.64 = 1,561.44/x
  3. Step 3: Cross multiply
    2,803.44x = 3,868.64 × 1,561.44
  4. Step 4: Simplify right side
    2,803.44x = 6,040,649.24
  5. Step 5: Solve for x
    x = 6,040,649.24/2,803.44
  6. Step 6: Final answer
    x = 2,154.73

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1.5x scale

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.