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Finding the Fourth Proportional to 35,530, 49,031.40 and 20,626

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Solution

The fourth proportional to 35,530, 49,031.40 and 20,626 is: 28,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,530 : 49,031.40 = 20,626 : x
  2. Step 2: Convert to fraction form
    35,530/49,031.40 = 20,626/x
  3. Step 3: Cross multiply
    35,530x = 49,031.40 × 20,626
  4. Step 4: Simplify right side
    35,530x = 1,011,321,656.40
  5. Step 5: Solve for x
    x = 1,011,321,656.40/35,530
  6. Step 6: Final answer
    x = 28,463.88

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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.