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Finding the Fourth Proportional to 1,808.12, 2,708.08 and 1,150.00

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Solution

The fourth proportional to 1,808.12, 2,708.08 and 1,150.00 is: 1,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.12 : 2,708.08 = 1,150.00 : x
  2. Step 2: Convert to fraction form
    1,808.12/2,708.08 = 1,150.00/x
  3. Step 3: Cross multiply
    1,808.12x = 2,708.08 × 1,150.00
  4. Step 4: Simplify right side
    1,808.12x = 3,114,288.82
  5. Step 5: Solve for x
    x = 3,114,288.82/1,808.12
  6. Step 6: Final answer
    x = 1,722.39

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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.