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Finding the Fourth Proportional to 1,885.68, 2,825.48 and 1,855.00

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Solution

The fourth proportional to 1,885.68, 2,825.48 and 1,855.00 is: 2,779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.68 : 2,825.48 = 1,855.00 : x
  2. Step 2: Convert to fraction form
    1,885.68/2,825.48 = 1,855.00/x
  3. Step 3: Cross multiply
    1,885.68x = 2,825.48 × 1,855.00
  4. Step 4: Simplify right side
    1,885.68x = 5,241,273.57
  5. Step 5: Solve for x
    x = 5,241,273.57/1,885.68
  6. Step 6: Final answer
    x = 2,779.51

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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.