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Finding the Fourth Proportional to 7,674.77, 11,512.80 and 2,128.11

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Solution

The fourth proportional to 7,674.77, 11,512.80 and 2,128.11 is: 3,192.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.77 : 11,512.80 = 2,128.11 : x
  2. Step 2: Convert to fraction form
    7,674.77/11,512.80 = 2,128.11/x
  3. Step 3: Cross multiply
    7,674.77x = 11,512.80 × 2,128.11
  4. Step 4: Simplify right side
    7,674.77x = 24,500,504.81
  5. Step 5: Solve for x
    x = 24,500,504.81/7,674.77
  6. Step 6: Final answer
    x = 3,192.35

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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.