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Finding the Fourth Proportional to 7,165.81, 10,745.99 and 2,782.25

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Solution

The fourth proportional to 7,165.81, 10,745.99 and 2,782.25 is: 4,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.81 : 10,745.99 = 2,782.25 : x
  2. Step 2: Convert to fraction form
    7,165.81/10,745.99 = 2,782.25/x
  3. Step 3: Cross multiply
    7,165.81x = 10,745.99 × 2,782.25
  4. Step 4: Simplify right side
    7,165.81x = 29,898,013.77
  5. Step 5: Solve for x
    x = 29,898,013.77/7,165.81
  6. Step 6: Final answer
    x = 4,172.31

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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.