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Finding the Fourth Proportional to 3,457, 5,176.05 and 2,418.04

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Solution

The fourth proportional to 3,457, 5,176.05 and 2,418.04 is: 3,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457 : 5,176.05 = 2,418.04 : x
  2. Step 2: Convert to fraction form
    3,457/5,176.05 = 2,418.04/x
  3. Step 3: Cross multiply
    3,457x = 5,176.05 × 2,418.04
  4. Step 4: Simplify right side
    3,457x = 12,515,895.94
  5. Step 5: Solve for x
    x = 12,515,895.94/3,457
  6. Step 6: Final answer
    x = 3,620.45

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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.