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Finding the Fourth Proportional to 3,628, 5,440.92 and 2,457.28

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Solution

The fourth proportional to 3,628, 5,440.92 and 2,457.28 is: 3,685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628 : 5,440.92 = 2,457.28 : x
  2. Step 2: Convert to fraction form
    3,628/5,440.92 = 2,457.28/x
  3. Step 3: Cross multiply
    3,628x = 5,440.92 × 2,457.28
  4. Step 4: Simplify right side
    3,628x = 13,369,863.90
  5. Step 5: Solve for x
    x = 13,369,863.90/3,628
  6. Step 6: Final answer
    x = 3,685.19

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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.