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Finding the Fourth Proportional to 38,576, 53,235.20 and 20,912

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Solution

The fourth proportional to 38,576, 53,235.20 and 20,912 is: 28,858.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,576 : 53,235.20 = 20,912 : x
  2. Step 2: Convert to fraction form
    38,576/53,235.20 = 20,912/x
  3. Step 3: Cross multiply
    38,576x = 53,235.20 × 20,912
  4. Step 4: Simplify right side
    38,576x = 1,113,254,502.40
  5. Step 5: Solve for x
    x = 1,113,254,502.40/38,576
  6. Step 6: Final answer
    x = 28,858.73

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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.