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Finding the Fourth Proportional to 5,443.70, 8,165.40 and 1,745.78

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Solution

The fourth proportional to 5,443.70, 8,165.40 and 1,745.78 is: 2,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443.70 : 8,165.40 = 1,745.78 : x
  2. Step 2: Convert to fraction form
    5,443.70/8,165.40 = 1,745.78/x
  3. Step 3: Cross multiply
    5,443.70x = 8,165.40 × 1,745.78
  4. Step 4: Simplify right side
    5,443.70x = 14,254,992.01
  5. Step 5: Solve for x
    x = 14,254,992.01/5,443.70
  6. Step 6: Final answer
    x = 2,618.62

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1.5x scale

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.