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Finding the Fourth Proportional to 12,665.44, 18,985.20 and 6,413.88

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Solution

The fourth proportional to 12,665.44, 18,985.20 and 6,413.88 is: 9,614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.44 : 18,985.20 = 6,413.88 : x
  2. Step 2: Convert to fraction form
    12,665.44/18,985.20 = 6,413.88/x
  3. Step 3: Cross multiply
    12,665.44x = 18,985.20 × 6,413.88
  4. Step 4: Simplify right side
    12,665.44x = 121,768,794.58
  5. Step 5: Solve for x
    x = 121,768,794.58/12,665.44
  6. Step 6: Final answer
    x = 9,614.26

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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.