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Finding the Fourth Proportional to 20,415.29, 30,624.86 and 7,936.26

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Solution

The fourth proportional to 20,415.29, 30,624.86 and 7,936.26 is: 11,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415.29 : 30,624.86 = 7,936.26 : x
  2. Step 2: Convert to fraction form
    20,415.29/30,624.86 = 7,936.26/x
  3. Step 3: Cross multiply
    20,415.29x = 30,624.86 × 7,936.26
  4. Step 4: Simplify right side
    20,415.29x = 243,046,811.74
  5. Step 5: Solve for x
    x = 243,046,811.74/20,415.29
  6. Step 6: Final answer
    x = 11,905.14

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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.