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Finding the Fourth Proportional to 11,868.88, 16,378.40 and 6,563.40

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Solution

The fourth proportional to 11,868.88, 16,378.40 and 6,563.40 is: 9,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.88 : 16,378.40 = 6,563.40 : x
  2. Step 2: Convert to fraction form
    11,868.88/16,378.40 = 6,563.40/x
  3. Step 3: Cross multiply
    11,868.88x = 16,378.40 × 6,563.40
  4. Step 4: Simplify right side
    11,868.88x = 107,497,990.56
  5. Step 5: Solve for x
    x = 107,497,990.56/11,868.88
  6. Step 6: Final answer
    x = 9,057.13

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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.