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Finding the Fourth Proportional to 38,565, 53,219.70 and 20,901

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Solution

The fourth proportional to 38,565, 53,219.70 and 20,901 is: 28,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,565 : 53,219.70 = 20,901 : x
  2. Step 2: Convert to fraction form
    38,565/53,219.70 = 20,901/x
  3. Step 3: Cross multiply
    38,565x = 53,219.70 × 20,901
  4. Step 4: Simplify right side
    38,565x = 1,112,344,949.70
  5. Step 5: Solve for x
    x = 1,112,344,949.70/38,565
  6. Step 6: Final answer
    x = 28,843.38

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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.