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Finding the Fourth Proportional to 1,884.85, 2,810.71 and 1,843

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Solution

The fourth proportional to 1,884.85, 2,810.71 and 1,843 is: 2,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.85 : 2,810.71 = 1,843 : x
  2. Step 2: Convert to fraction form
    1,884.85/2,810.71 = 1,843/x
  3. Step 3: Cross multiply
    1,884.85x = 2,810.71 × 1,843
  4. Step 4: Simplify right side
    1,884.85x = 5,180,138.53
  5. Step 5: Solve for x
    x = 5,180,138.53/1,884.85
  6. Step 6: Final answer
    x = 2,748.30

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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.