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Finding the Fourth Proportional to 22,412.82, 30,928.44 and 12,340.86

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Solution

The fourth proportional to 22,412.82, 30,928.44 and 12,340.86 is: 17,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,412.82 : 30,928.44 = 12,340.86 : x
  2. Step 2: Convert to fraction form
    22,412.82/30,928.44 = 12,340.86/x
  3. Step 3: Cross multiply
    22,412.82x = 30,928.44 × 12,340.86
  4. Step 4: Simplify right side
    22,412.82x = 381,683,548.06
  5. Step 5: Solve for x
    x = 381,683,548.06/22,412.82
  6. Step 6: Final answer
    x = 17,029.70

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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.