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Finding the Fourth Proportional to 23,642.32, 35,419.20 and 21,208

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Solution

The fourth proportional to 23,642.32, 35,419.20 and 21,208 is: 31,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.32 : 35,419.20 = 21,208 : x
  2. Step 2: Convert to fraction form
    23,642.32/35,419.20 = 21,208/x
  3. Step 3: Cross multiply
    23,642.32x = 35,419.20 × 21,208
  4. Step 4: Simplify right side
    23,642.32x = 751,170,393.60
  5. Step 5: Solve for x
    x = 751,170,393.60/23,642.32
  6. Step 6: Final answer
    x = 31,772.28

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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.