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Finding the Fourth Proportional to 7,655.94, 11,488.41 and 3,213.24

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Solution

The fourth proportional to 7,655.94, 11,488.41 and 3,213.24 is: 4,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.94 : 11,488.41 = 3,213.24 : x
  2. Step 2: Convert to fraction form
    7,655.94/11,488.41 = 3,213.24/x
  3. Step 3: Cross multiply
    7,655.94x = 11,488.41 × 3,213.24
  4. Step 4: Simplify right side
    7,655.94x = 36,915,018.55
  5. Step 5: Solve for x
    x = 36,915,018.55/7,655.94
  6. Step 6: Final answer
    x = 4,821.75

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1.5x scale

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.