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Finding the Fourth Proportional to 1,808.58, 2,699.78 and 1,589.88

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Solution

The fourth proportional to 1,808.58, 2,699.78 and 1,589.88 is: 2,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.58 : 2,699.78 = 1,589.88 : x
  2. Step 2: Convert to fraction form
    1,808.58/2,699.78 = 1,589.88/x
  3. Step 3: Cross multiply
    1,808.58x = 2,699.78 × 1,589.88
  4. Step 4: Simplify right side
    1,808.58x = 4,292,318.28
  5. Step 5: Solve for x
    x = 4,292,318.28/1,808.58
  6. Step 6: Final answer
    x = 2,373.31

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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.