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Finding the Fourth Proportional to 1,794.90, 2,687.58 and 1,209

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Solution

The fourth proportional to 1,794.90, 2,687.58 and 1,209 is: 1,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.90 : 2,687.58 = 1,209 : x
  2. Step 2: Convert to fraction form
    1,794.90/2,687.58 = 1,209/x
  3. Step 3: Cross multiply
    1,794.90x = 2,687.58 × 1,209
  4. Step 4: Simplify right side
    1,794.90x = 3,249,284.22
  5. Step 5: Solve for x
    x = 3,249,284.22/1,794.90
  6. Step 6: Final answer
    x = 1,810.29

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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.