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Finding the Fourth Proportional to 38,509, 53,142.58 and 20,845

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Solution

The fourth proportional to 38,509, 53,142.58 and 20,845 is: 28,766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,509 : 53,142.58 = 20,845 : x
  2. Step 2: Convert to fraction form
    38,509/53,142.58 = 20,845/x
  3. Step 3: Cross multiply
    38,509x = 53,142.58 × 20,845
  4. Step 4: Simplify right side
    38,509x = 1,107,757,080.10
  5. Step 5: Solve for x
    x = 1,107,757,080.10/38,509
  6. Step 6: Final answer
    x = 28,766.19

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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.