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Finding the Fourth Proportional to 21,162.55, 31,745.99 and 7,309.75

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Solution

The fourth proportional to 21,162.55, 31,745.99 and 7,309.75 is: 10,965.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,162.55 : 31,745.99 = 7,309.75 : x
  2. Step 2: Convert to fraction form
    21,162.55/31,745.99 = 7,309.75/x
  3. Step 3: Cross multiply
    21,162.55x = 31,745.99 × 7,309.75
  4. Step 4: Simplify right side
    21,162.55x = 232,055,213.85
  5. Step 5: Solve for x
    x = 232,055,213.85/21,162.55
  6. Step 6: Final answer
    x = 10,965.37

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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.