Home / 2,205-3,042.08-1,408.36

Finding the Fourth Proportional to 2,205, 3,042.08 and 1,408.36

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Solution

The fourth proportional to 2,205, 3,042.08 and 1,408.36 is: 1,943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205 : 3,042.08 = 1,408.36 : x
  2. Step 2: Convert to fraction form
    2,205/3,042.08 = 1,408.36/x
  3. Step 3: Cross multiply
    2,205x = 3,042.08 × 1,408.36
  4. Step 4: Simplify right side
    2,205x = 4,284,343.79
  5. Step 5: Solve for x
    x = 4,284,343.79/2,205
  6. Step 6: Final answer
    x = 1,943.01

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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.