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Finding the Fourth Proportional to 1,887.91, 2,830.31 and 1,682.91

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Solution

The fourth proportional to 1,887.91, 2,830.31 and 1,682.91 is: 2,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.91 : 2,830.31 = 1,682.91 : x
  2. Step 2: Convert to fraction form
    1,887.91/2,830.31 = 1,682.91/x
  3. Step 3: Cross multiply
    1,887.91x = 2,830.31 × 1,682.91
  4. Step 4: Simplify right side
    1,887.91x = 4,763,154.90
  5. Step 5: Solve for x
    x = 4,763,154.90/1,887.91
  6. Step 6: Final answer
    x = 2,522.98

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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.