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Finding the Fourth Proportional to 1,862.67, 2,779.85 and 1,787.33

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Solution

The fourth proportional to 1,862.67, 2,779.85 and 1,787.33 is: 2,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.67 : 2,779.85 = 1,787.33 : x
  2. Step 2: Convert to fraction form
    1,862.67/2,779.85 = 1,787.33/x
  3. Step 3: Cross multiply
    1,862.67x = 2,779.85 × 1,787.33
  4. Step 4: Simplify right side
    1,862.67x = 4,968,499.87
  5. Step 5: Solve for x
    x = 4,968,499.87/1,862.67
  6. Step 6: Final answer
    x = 2,667.41

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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.