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Finding the Fourth Proportional to 9,738.12, 14,605.14 and 2,811

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Solution

The fourth proportional to 9,738.12, 14,605.14 and 2,811 is: 4,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.12 : 14,605.14 = 2,811 : x
  2. Step 2: Convert to fraction form
    9,738.12/14,605.14 = 2,811/x
  3. Step 3: Cross multiply
    9,738.12x = 14,605.14 × 2,811
  4. Step 4: Simplify right side
    9,738.12x = 41,055,048.54
  5. Step 5: Solve for x
    x = 41,055,048.54/9,738.12
  6. Step 6: Final answer
    x = 4,215.91

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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.