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Finding the Fourth Proportional to 11,761.76, 17,645.04 and 3,970.40

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Solution

The fourth proportional to 11,761.76, 17,645.04 and 3,970.40 is: 5,956.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.76 : 17,645.04 = 3,970.40 : x
  2. Step 2: Convert to fraction form
    11,761.76/17,645.04 = 3,970.40/x
  3. Step 3: Cross multiply
    11,761.76x = 17,645.04 × 3,970.40
  4. Step 4: Simplify right side
    11,761.76x = 70,057,866.82
  5. Step 5: Solve for x
    x = 70,057,866.82/11,761.76
  6. Step 6: Final answer
    x = 5,956.41

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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.