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Finding the Fourth Proportional to 7,431.50, 10,255.77 and 4,074.62

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Solution

The fourth proportional to 7,431.50, 10,255.77 and 4,074.62 is: 5,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.50 : 10,255.77 = 4,074.62 : x
  2. Step 2: Convert to fraction form
    7,431.50/10,255.77 = 4,074.62/x
  3. Step 3: Cross multiply
    7,431.50x = 10,255.77 × 4,074.62
  4. Step 4: Simplify right side
    7,431.50x = 41,788,314.28
  5. Step 5: Solve for x
    x = 41,788,314.28/7,431.50
  6. Step 6: Final answer
    x = 5,623.14

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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.