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Finding the Fourth Proportional to 2,205, 3,042.80 and 1,320.63

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Solution

The fourth proportional to 2,205, 3,042.80 and 1,320.63 is: 1,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205 : 3,042.80 = 1,320.63 : x
  2. Step 2: Convert to fraction form
    2,205/3,042.80 = 1,320.63/x
  3. Step 3: Cross multiply
    2,205x = 3,042.80 × 1,320.63
  4. Step 4: Simplify right side
    2,205x = 4,018,406.36
  5. Step 5: Solve for x
    x = 4,018,406.36/2,205
  6. Step 6: Final answer
    x = 1,822.41

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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.