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Finding the Fourth Proportional to 11,761.53, 17,642.29 and 3,970.23

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Solution

The fourth proportional to 11,761.53, 17,642.29 and 3,970.23 is: 5,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.53 : 17,642.29 = 3,970.23 : x
  2. Step 2: Convert to fraction form
    11,761.53/17,642.29 = 3,970.23/x
  3. Step 3: Cross multiply
    11,761.53x = 17,642.29 × 3,970.23
  4. Step 4: Simplify right side
    11,761.53x = 70,043,949.03
  5. Step 5: Solve for x
    x = 70,043,949.03/11,761.53
  6. Step 6: Final answer
    x = 5,955.34

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1.5x scale

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.