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Finding the Fourth Proportional to 4,971.92, 7,457.76 and 2,048.20

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Solution

The fourth proportional to 4,971.92, 7,457.76 and 2,048.20 is: 3,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.92 : 7,457.76 = 2,048.20 : x
  2. Step 2: Convert to fraction form
    4,971.92/7,457.76 = 2,048.20/x
  3. Step 3: Cross multiply
    4,971.92x = 7,457.76 × 2,048.20
  4. Step 4: Simplify right side
    4,971.92x = 15,274,984.03
  5. Step 5: Solve for x
    x = 15,274,984.03/4,971.92
  6. Step 6: Final answer
    x = 3,072.25

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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.