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Finding the Fourth Proportional to 38,409.50, 53,005.14 and 20,745.50

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Solution

The fourth proportional to 38,409.50, 53,005.14 and 20,745.50 is: 28,628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,409.50 : 53,005.14 = 20,745.50 : x
  2. Step 2: Convert to fraction form
    38,409.50/53,005.14 = 20,745.50/x
  3. Step 3: Cross multiply
    38,409.50x = 53,005.14 × 20,745.50
  4. Step 4: Simplify right side
    38,409.50x = 1,099,618,131.87
  5. Step 5: Solve for x
    x = 1,099,618,131.87/38,409.50
  6. Step 6: Final answer
    x = 28,628.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.