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Finding the Fourth Proportional to 30,751.80, 46,125 and 8,563.74

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Solution

The fourth proportional to 30,751.80, 46,125 and 8,563.74 is: 12,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.80 : 46,125 = 8,563.74 : x
  2. Step 2: Convert to fraction form
    30,751.80/46,125 = 8,563.74/x
  3. Step 3: Cross multiply
    30,751.80x = 46,125 × 8,563.74
  4. Step 4: Simplify right side
    30,751.80x = 395,002,507.50
  5. Step 5: Solve for x
    x = 395,002,507.50/30,751.80
  6. Step 6: Final answer
    x = 12,844.86

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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.