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Finding the Fourth Proportional to 19,711.30, 29,570.84 and 7,231.43

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Solution

The fourth proportional to 19,711.30, 29,570.84 and 7,231.43 is: 10,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.30 : 29,570.84 = 7,231.43 : x
  2. Step 2: Convert to fraction form
    19,711.30/29,570.84 = 7,231.43/x
  3. Step 3: Cross multiply
    19,711.30x = 29,570.84 × 7,231.43
  4. Step 4: Simplify right side
    19,711.30x = 213,839,551.51
  5. Step 5: Solve for x
    x = 213,839,551.51/19,711.30
  6. Step 6: Final answer
    x = 10,848.58

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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.