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Finding the Fourth Proportional to 18,801.84, 28,184 and 9,413.20

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Solution

The fourth proportional to 18,801.84, 28,184 and 9,413.20 is: 14,110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,801.84 : 28,184 = 9,413.20 : x
  2. Step 2: Convert to fraction form
    18,801.84/28,184 = 9,413.20/x
  3. Step 3: Cross multiply
    18,801.84x = 28,184 × 9,413.20
  4. Step 4: Simplify right side
    18,801.84x = 265,301,628.80
  5. Step 5: Solve for x
    x = 265,301,628.80/18,801.84
  6. Step 6: Final answer
    x = 14,110.41

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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.