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Finding the Fourth Proportional to 7,730.56, 11,530.81 and 7,021.04

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Solution

The fourth proportional to 7,730.56, 11,530.81 and 7,021.04 is: 10,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.56 : 11,530.81 = 7,021.04 : x
  2. Step 2: Convert to fraction form
    7,730.56/11,530.81 = 7,021.04/x
  3. Step 3: Cross multiply
    7,730.56x = 11,530.81 × 7,021.04
  4. Step 4: Simplify right side
    7,730.56x = 80,958,278.24
  5. Step 5: Solve for x
    x = 80,958,278.24/7,730.56
  6. Step 6: Final answer
    x = 10,472.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.