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Finding the Fourth Proportional to 12,424.92, 18,632.70 and 7,738.08

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Solution

The fourth proportional to 12,424.92, 18,632.70 and 7,738.08 is: 11,604.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.92 : 18,632.70 = 7,738.08 : x
  2. Step 2: Convert to fraction form
    12,424.92/18,632.70 = 7,738.08/x
  3. Step 3: Cross multiply
    12,424.92x = 18,632.70 × 7,738.08
  4. Step 4: Simplify right side
    12,424.92x = 144,181,323.22
  5. Step 5: Solve for x
    x = 144,181,323.22/12,424.92
  6. Step 6: Final answer
    x = 11,604.21

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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.