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Finding the Fourth Proportional to 25,830, 38,759 and 19,998

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Solution

The fourth proportional to 25,830, 38,759 and 19,998 is: 30,007.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830 : 38,759 = 19,998 : x
  2. Step 2: Convert to fraction form
    25,830/38,759 = 19,998/x
  3. Step 3: Cross multiply
    25,830x = 38,759 × 19,998
  4. Step 4: Simplify right side
    25,830x = 775,102,482
  5. Step 5: Solve for x
    x = 775,102,482/25,830
  6. Step 6: Final answer
    x = 30,007.84

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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.