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Finding the Fourth Proportional to 10,450.98, 14,421.78 and 5,734.89

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Solution

The fourth proportional to 10,450.98, 14,421.78 and 5,734.89 is: 7,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.98 : 14,421.78 = 5,734.89 : x
  2. Step 2: Convert to fraction form
    10,450.98/14,421.78 = 5,734.89/x
  3. Step 3: Cross multiply
    10,450.98x = 14,421.78 × 5,734.89
  4. Step 4: Simplify right side
    10,450.98x = 82,707,321.90
  5. Step 5: Solve for x
    x = 82,707,321.90/10,450.98
  6. Step 6: Final answer
    x = 7,913.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.