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Finding the Fourth Proportional to 25,220, 34,806.04 and 14,042

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Solution

The fourth proportional to 25,220, 34,806.04 and 14,042 is: 19,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,220 : 34,806.04 = 14,042 : x
  2. Step 2: Convert to fraction form
    25,220/34,806.04 = 14,042/x
  3. Step 3: Cross multiply
    25,220x = 34,806.04 × 14,042
  4. Step 4: Simplify right side
    25,220x = 488,746,413.68
  5. Step 5: Solve for x
    x = 488,746,413.68/25,220
  6. Step 6: Final answer
    x = 19,379.32

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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.