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Finding the Fourth Proportional to 1,788.67, 2,680.07 and 1,720.32

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Solution

The fourth proportional to 1,788.67, 2,680.07 and 1,720.32 is: 2,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.67 : 2,680.07 = 1,720.32 : x
  2. Step 2: Convert to fraction form
    1,788.67/2,680.07 = 1,720.32/x
  3. Step 3: Cross multiply
    1,788.67x = 2,680.07 × 1,720.32
  4. Step 4: Simplify right side
    1,788.67x = 4,610,578.02
  5. Step 5: Solve for x
    x = 4,610,578.02/1,788.67
  6. Step 6: Final answer
    x = 2,577.66

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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.