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Finding the Fourth Proportional to 20,558.52, 30,852 and 8,078.46

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Solution

The fourth proportional to 20,558.52, 30,852 and 8,078.46 is: 12,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,558.52 : 30,852 = 8,078.46 : x
  2. Step 2: Convert to fraction form
    20,558.52/30,852 = 8,078.46/x
  3. Step 3: Cross multiply
    20,558.52x = 30,852 × 8,078.46
  4. Step 4: Simplify right side
    20,558.52x = 249,236,647.92
  5. Step 5: Solve for x
    x = 249,236,647.92/20,558.52
  6. Step 6: Final answer
    x = 12,123.28

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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.