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Finding the Fourth Proportional to 19,312.67, 28,969.01 and 6,825.84

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Solution

The fourth proportional to 19,312.67, 28,969.01 and 6,825.84 is: 10,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,312.67 : 28,969.01 = 6,825.84 : x
  2. Step 2: Convert to fraction form
    19,312.67/28,969.01 = 6,825.84/x
  3. Step 3: Cross multiply
    19,312.67x = 28,969.01 × 6,825.84
  4. Step 4: Simplify right side
    19,312.67x = 197,737,793.09
  5. Step 5: Solve for x
    x = 197,737,793.09/19,312.67
  6. Step 6: Final answer
    x = 10,238.76

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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.