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Finding the Fourth Proportional to 2,971.92, 4,457.79 and 1,413.05

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Solution

The fourth proportional to 2,971.92, 4,457.79 and 1,413.05 is: 2,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.92 : 4,457.79 = 1,413.05 : x
  2. Step 2: Convert to fraction form
    2,971.92/4,457.79 = 1,413.05/x
  3. Step 3: Cross multiply
    2,971.92x = 4,457.79 × 1,413.05
  4. Step 4: Simplify right side
    2,971.92x = 6,299,080.16
  5. Step 5: Solve for x
    x = 6,299,080.16/2,971.92
  6. Step 6: Final answer
    x = 2,119.53

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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.