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Finding the Fourth Proportional to 11,869, 16,378.95 and 6,563.86

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Solution

The fourth proportional to 11,869, 16,378.95 and 6,563.86 is: 9,057.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869 : 16,378.95 = 6,563.86 : x
  2. Step 2: Convert to fraction form
    11,869/16,378.95 = 6,563.86/x
  3. Step 3: Cross multiply
    11,869x = 16,378.95 × 6,563.86
  4. Step 4: Simplify right side
    11,869x = 107,509,134.75
  5. Step 5: Solve for x
    x = 107,509,134.75/11,869
  6. Step 6: Final answer
    x = 9,057.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.