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Finding the Fourth Proportional to 25,852, 38,792 and 20,020

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Solution

The fourth proportional to 25,852, 38,792 and 20,020 is: 30,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852 : 38,792 = 20,020 : x
  2. Step 2: Convert to fraction form
    25,852/38,792 = 20,020/x
  3. Step 3: Cross multiply
    25,852x = 38,792 × 20,020
  4. Step 4: Simplify right side
    25,852x = 776,615,840
  5. Step 5: Solve for x
    x = 776,615,840/25,852
  6. Step 6: Final answer
    x = 30,040.84

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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.