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Finding the Fourth Proportional to 1,804.02, 2,699.70 and 1,311

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Solution

The fourth proportional to 1,804.02, 2,699.70 and 1,311 is: 1,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.02 : 2,699.70 = 1,311 : x
  2. Step 2: Convert to fraction form
    1,804.02/2,699.70 = 1,311/x
  3. Step 3: Cross multiply
    1,804.02x = 2,699.70 × 1,311
  4. Step 4: Simplify right side
    1,804.02x = 3,539,306.70
  5. Step 5: Solve for x
    x = 3,539,306.70/1,804.02
  6. Step 6: Final answer
    x = 1,961.90

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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.