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Finding the Fourth Proportional to 8,406.39, 11,602.20 and 6,413.18

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Solution

The fourth proportional to 8,406.39, 11,602.20 and 6,413.18 is: 8,851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.39 : 11,602.20 = 6,413.18 : x
  2. Step 2: Convert to fraction form
    8,406.39/11,602.20 = 6,413.18/x
  3. Step 3: Cross multiply
    8,406.39x = 11,602.20 × 6,413.18
  4. Step 4: Simplify right side
    8,406.39x = 74,406,982.49
  5. Step 5: Solve for x
    x = 74,406,982.49/8,406.39
  6. Step 6: Final answer
    x = 8,851.24

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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.