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Finding the Fourth Proportional to 11,761.12, 17,640.64 and 3,970.08

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Solution

The fourth proportional to 11,761.12, 17,640.64 and 3,970.08 is: 5,954.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.12 : 17,640.64 = 3,970.08 : x
  2. Step 2: Convert to fraction form
    11,761.12/17,640.64 = 3,970.08/x
  3. Step 3: Cross multiply
    11,761.12x = 17,640.64 × 3,970.08
  4. Step 4: Simplify right side
    11,761.12x = 70,034,752.05
  5. Step 5: Solve for x
    x = 70,034,752.05/11,761.12
  6. Step 6: Final answer
    x = 5,954.77

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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.