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Finding the Fourth Proportional to 25,406, 38,108.64 and 15,413.12

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Solution

The fourth proportional to 25,406, 38,108.64 and 15,413.12 is: 23,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,406 : 38,108.64 = 15,413.12 : x
  2. Step 2: Convert to fraction form
    25,406/38,108.64 = 15,413.12/x
  3. Step 3: Cross multiply
    25,406x = 38,108.64 × 15,413.12
  4. Step 4: Simplify right side
    25,406x = 587,373,041.36
  5. Step 5: Solve for x
    x = 587,373,041.36/25,406
  6. Step 6: Final answer
    x = 23,119.46

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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.