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Finding the Fourth Proportional to 9,356.75, 12,899.90 and 7,757.36

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Solution

The fourth proportional to 9,356.75, 12,899.90 and 7,757.36 is: 10,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.75 : 12,899.90 = 7,757.36 : x
  2. Step 2: Convert to fraction form
    9,356.75/12,899.90 = 7,757.36/x
  3. Step 3: Cross multiply
    9,356.75x = 12,899.90 × 7,757.36
  4. Step 4: Simplify right side
    9,356.75x = 100,069,064.98
  5. Step 5: Solve for x
    x = 100,069,064.98/9,356.75
  6. Step 6: Final answer
    x = 10,694.86

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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.