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Finding the Fourth Proportional to 30,413.52, 41,980.68 and 17,838

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Solution

The fourth proportional to 30,413.52, 41,980.68 and 17,838 is: 24,622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,413.52 : 41,980.68 = 17,838 : x
  2. Step 2: Convert to fraction form
    30,413.52/41,980.68 = 17,838/x
  3. Step 3: Cross multiply
    30,413.52x = 41,980.68 × 17,838
  4. Step 4: Simplify right side
    30,413.52x = 748,851,369.84
  5. Step 5: Solve for x
    x = 748,851,369.84/30,413.52
  6. Step 6: Final answer
    x = 24,622.32

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1.5x scale

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.