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Finding the Fourth Proportional to 9,300.48, 13,950.72 and 3,144

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Solution

The fourth proportional to 9,300.48, 13,950.72 and 3,144 is: 4,716

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.48 : 13,950.72 = 3,144 : x
  2. Step 2: Convert to fraction form
    9,300.48/13,950.72 = 3,144/x
  3. Step 3: Cross multiply
    9,300.48x = 13,950.72 × 3,144
  4. Step 4: Simplify right side
    9,300.48x = 43,861,063.68
  5. Step 5: Solve for x
    x = 43,861,063.68/9,300.48
  6. Step 6: Final answer
    x = 4,716

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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.