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Finding the Fourth Proportional to 11,300.50, 16,950.75 and 3,509.31

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Solution

The fourth proportional to 11,300.50, 16,950.75 and 3,509.31 is: 5,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,300.50 : 16,950.75 = 3,509.31 : x
  2. Step 2: Convert to fraction form
    11,300.50/16,950.75 = 3,509.31/x
  3. Step 3: Cross multiply
    11,300.50x = 16,950.75 × 3,509.31
  4. Step 4: Simplify right side
    11,300.50x = 59,485,436.48
  5. Step 5: Solve for x
    x = 59,485,436.48/11,300.50
  6. Step 6: Final answer
    x = 5,263.97

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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.