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Finding the Fourth Proportional to 20,415, 30,629.79 and 10,034.04

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Solution

The fourth proportional to 20,415, 30,629.79 and 10,034.04 is: 15,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,415 : 30,629.79 = 10,034.04 : x
  2. Step 2: Convert to fraction form
    20,415/30,629.79 = 10,034.04/x
  3. Step 3: Cross multiply
    20,415x = 30,629.79 × 10,034.04
  4. Step 4: Simplify right side
    20,415x = 307,340,538.05
  5. Step 5: Solve for x
    x = 307,340,538.05/20,415
  6. Step 6: Final answer
    x = 15,054.64

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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.