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Finding the Fourth Proportional to 19,643.58, 29,473.16 and 7,164.41

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Solution

The fourth proportional to 19,643.58, 29,473.16 and 7,164.41 is: 10,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,643.58 : 29,473.16 = 7,164.41 : x
  2. Step 2: Convert to fraction form
    19,643.58/29,473.16 = 7,164.41/x
  3. Step 3: Cross multiply
    19,643.58x = 29,473.16 × 7,164.41
  4. Step 4: Simplify right side
    19,643.58x = 211,157,619.05
  5. Step 5: Solve for x
    x = 211,157,619.05/19,643.58
  6. Step 6: Final answer
    x = 10,749.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.