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Finding the Fourth Proportional to 3,751.34, 5,623.97 and 1,561.71

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Solution

The fourth proportional to 3,751.34, 5,623.97 and 1,561.71 is: 2,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.34 : 5,623.97 = 1,561.71 : x
  2. Step 2: Convert to fraction form
    3,751.34/5,623.97 = 1,561.71/x
  3. Step 3: Cross multiply
    3,751.34x = 5,623.97 × 1,561.71
  4. Step 4: Simplify right side
    3,751.34x = 8,783,002.38
  5. Step 5: Solve for x
    x = 8,783,002.38/3,751.34
  6. Step 6: Final answer
    x = 2,341.30

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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.