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Finding the Fourth Proportional to 9,940.80, 13,711.16 and 6,400.63

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Solution

The fourth proportional to 9,940.80, 13,711.16 and 6,400.63 is: 8,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.80 : 13,711.16 = 6,400.63 : x
  2. Step 2: Convert to fraction form
    9,940.80/13,711.16 = 6,400.63/x
  3. Step 3: Cross multiply
    9,940.80x = 13,711.16 × 6,400.63
  4. Step 4: Simplify right side
    9,940.80x = 87,760,043.75
  5. Step 5: Solve for x
    x = 87,760,043.75/9,940.80
  6. Step 6: Final answer
    x = 8,828.27

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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.