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Finding the Fourth Proportional to 10,450.75, 15,733.14 and 9,532.21

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Solution

The fourth proportional to 10,450.75, 15,733.14 and 9,532.21 is: 14,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.75 : 15,733.14 = 9,532.21 : x
  2. Step 2: Convert to fraction form
    10,450.75/15,733.14 = 9,532.21/x
  3. Step 3: Cross multiply
    10,450.75x = 15,733.14 × 9,532.21
  4. Step 4: Simplify right side
    10,450.75x = 149,971,468.11
  5. Step 5: Solve for x
    x = 149,971,468.11/10,450.75
  6. Step 6: Final answer
    x = 14,350.31

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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.