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Finding the Fourth Proportional to 12,709.92, 19,069.44 and 7,722.47

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Solution

The fourth proportional to 12,709.92, 19,069.44 and 7,722.47 is: 11,586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.92 : 19,069.44 = 7,722.47 : x
  2. Step 2: Convert to fraction form
    12,709.92/19,069.44 = 7,722.47/x
  3. Step 3: Cross multiply
    12,709.92x = 19,069.44 × 7,722.47
  4. Step 4: Simplify right side
    12,709.92x = 147,263,082.97
  5. Step 5: Solve for x
    x = 147,263,082.97/12,709.92
  6. Step 6: Final answer
    x = 11,586.47

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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.