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Finding the Fourth Proportional to 2,972.93, 4,459.43 and 1,413.09

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Solution

The fourth proportional to 2,972.93, 4,459.43 and 1,413.09 is: 2,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.93 : 4,459.43 = 1,413.09 : x
  2. Step 2: Convert to fraction form
    2,972.93/4,459.43 = 1,413.09/x
  3. Step 3: Cross multiply
    2,972.93x = 4,459.43 × 1,413.09
  4. Step 4: Simplify right side
    2,972.93x = 6,301,568.87
  5. Step 5: Solve for x
    x = 6,301,568.87/2,972.93
  6. Step 6: Final answer
    x = 2,119.65

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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.