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Finding the Fourth Proportional to 1,804.77, 2,694.09 and 1,669.50

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Solution

The fourth proportional to 1,804.77, 2,694.09 and 1,669.50 is: 2,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.77 : 2,694.09 = 1,669.50 : x
  2. Step 2: Convert to fraction form
    1,804.77/2,694.09 = 1,669.50/x
  3. Step 3: Cross multiply
    1,804.77x = 2,694.09 × 1,669.50
  4. Step 4: Simplify right side
    1,804.77x = 4,497,783.26
  5. Step 5: Solve for x
    x = 4,497,783.26/1,804.77
  6. Step 6: Final answer
    x = 2,492.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.