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Finding the Fourth Proportional to 1,745.79, 2,620.06 and 1,540.77

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Solution

The fourth proportional to 1,745.79, 2,620.06 and 1,540.77 is: 2,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.79 : 2,620.06 = 1,540.77 : x
  2. Step 2: Convert to fraction form
    1,745.79/2,620.06 = 1,540.77/x
  3. Step 3: Cross multiply
    1,745.79x = 2,620.06 × 1,540.77
  4. Step 4: Simplify right side
    1,745.79x = 4,036,909.85
  5. Step 5: Solve for x
    x = 4,036,909.85/1,745.79
  6. Step 6: Final answer
    x = 2,312.37

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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.