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Finding the Fourth Proportional to 3,492.16, 5,239.79 and 1,413.65

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Solution

The fourth proportional to 3,492.16, 5,239.79 and 1,413.65 is: 2,121.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.16 : 5,239.79 = 1,413.65 : x
  2. Step 2: Convert to fraction form
    3,492.16/5,239.79 = 1,413.65/x
  3. Step 3: Cross multiply
    3,492.16x = 5,239.79 × 1,413.65
  4. Step 4: Simplify right side
    3,492.16x = 7,407,240.47
  5. Step 5: Solve for x
    x = 7,407,240.47/3,492.16
  6. Step 6: Final answer
    x = 2,121.10

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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.