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Finding the Fourth Proportional to 1,855.62, 2,558.86 and 1,591.00

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Solution

The fourth proportional to 1,855.62, 2,558.86 and 1,591.00 is: 2,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.62 : 2,558.86 = 1,591.00 : x
  2. Step 2: Convert to fraction form
    1,855.62/2,558.86 = 1,591.00/x
  3. Step 3: Cross multiply
    1,855.62x = 2,558.86 × 1,591.00
  4. Step 4: Simplify right side
    1,855.62x = 4,071,135.89
  5. Step 5: Solve for x
    x = 4,071,135.89/1,855.62
  6. Step 6: Final answer
    x = 2,193.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.