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Finding the Fourth Proportional to 10,450.98, 15,733.51 and 9,532.44

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Solution

The fourth proportional to 10,450.98, 15,733.51 and 9,532.44 is: 14,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.98 : 15,733.51 = 9,532.44 : x
  2. Step 2: Convert to fraction form
    10,450.98/15,733.51 = 9,532.44/x
  3. Step 3: Cross multiply
    10,450.98x = 15,733.51 × 9,532.44
  4. Step 4: Simplify right side
    10,450.98x = 149,978,740.06
  5. Step 5: Solve for x
    x = 149,978,740.06/10,450.98
  6. Step 6: Final answer
    x = 14,350.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.