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Finding the Fourth Proportional to 2,803.70, 4,208.14 and 1,418.01

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Solution

The fourth proportional to 2,803.70, 4,208.14 and 1,418.01 is: 2,128.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.70 : 4,208.14 = 1,418.01 : x
  2. Step 2: Convert to fraction form
    2,803.70/4,208.14 = 1,418.01/x
  3. Step 3: Cross multiply
    2,803.70x = 4,208.14 × 1,418.01
  4. Step 4: Simplify right side
    2,803.70x = 5,967,184.60
  5. Step 5: Solve for x
    x = 5,967,184.60/2,803.70
  6. Step 6: Final answer
    x = 2,128.32

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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.