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Finding the Fourth Proportional to 3,640.62, 5,457.26 and 1,561.98

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Solution

The fourth proportional to 3,640.62, 5,457.26 and 1,561.98 is: 2,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.62 : 5,457.26 = 1,561.98 : x
  2. Step 2: Convert to fraction form
    3,640.62/5,457.26 = 1,561.98/x
  3. Step 3: Cross multiply
    3,640.62x = 5,457.26 × 1,561.98
  4. Step 4: Simplify right side
    3,640.62x = 8,524,130.97
  5. Step 5: Solve for x
    x = 8,524,130.97/3,640.62
  6. Step 6: Final answer
    x = 2,341.40

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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.