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Finding the Fourth Proportional to 1,851.57, 2,779.65 and 1,843.13

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Solution

The fourth proportional to 1,851.57, 2,779.65 and 1,843.13 is: 2,766.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.57 : 2,779.65 = 1,843.13 : x
  2. Step 2: Convert to fraction form
    1,851.57/2,779.65 = 1,843.13/x
  3. Step 3: Cross multiply
    1,851.57x = 2,779.65 × 1,843.13
  4. Step 4: Simplify right side
    1,851.57x = 5,123,263.25
  5. Step 5: Solve for x
    x = 5,123,263.25/1,851.57
  6. Step 6: Final answer
    x = 2,766.98

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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.