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Finding the Fourth Proportional to 2,804.78, 4,208.98 and 1,073.40

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Solution

The fourth proportional to 2,804.78, 4,208.98 and 1,073.40 is: 1,610.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.78 : 4,208.98 = 1,073.40 : x
  2. Step 2: Convert to fraction form
    2,804.78/4,208.98 = 1,073.40/x
  3. Step 3: Cross multiply
    2,804.78x = 4,208.98 × 1,073.40
  4. Step 4: Simplify right side
    2,804.78x = 4,517,919.13
  5. Step 5: Solve for x
    x = 4,517,919.13/2,804.78
  6. Step 6: Final answer
    x = 1,610.80

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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.