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Finding the Fourth Proportional to 43,648, 65,472 and 10,816

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Solution

The fourth proportional to 43,648, 65,472 and 10,816 is: 16,224

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,648 : 65,472 = 10,816 : x
  2. Step 2: Convert to fraction form
    43,648/65,472 = 10,816/x
  3. Step 3: Cross multiply
    43,648x = 65,472 × 10,816
  4. Step 4: Simplify right side
    43,648x = 708,145,152
  5. Step 5: Solve for x
    x = 708,145,152/43,648
  6. Step 6: Final answer
    x = 16,224

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.