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Finding the Fourth Proportional to 5,165.16, 7,745.86 and 2,826.89

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Solution

The fourth proportional to 5,165.16, 7,745.86 and 2,826.89 is: 4,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.16 : 7,745.86 = 2,826.89 : x
  2. Step 2: Convert to fraction form
    5,165.16/7,745.86 = 2,826.89/x
  3. Step 3: Cross multiply
    5,165.16x = 7,745.86 × 2,826.89
  4. Step 4: Simplify right side
    5,165.16x = 21,896,694.18
  5. Step 5: Solve for x
    x = 21,896,694.18/5,165.16
  6. Step 6: Final answer
    x = 4,239.31

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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.