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Finding the Fourth Proportional to 10,550.40, 14,571.95 and 8,433.27

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Solution

The fourth proportional to 10,550.40, 14,571.95 and 8,433.27 is: 11,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.40 : 14,571.95 = 8,433.27 : x
  2. Step 2: Convert to fraction form
    10,550.40/14,571.95 = 8,433.27/x
  3. Step 3: Cross multiply
    10,550.40x = 14,571.95 × 8,433.27
  4. Step 4: Simplify right side
    10,550.40x = 122,889,146.61
  5. Step 5: Solve for x
    x = 122,889,146.61/10,550.40
  6. Step 6: Final answer
    x = 11,647.82

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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.