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Finding the Fourth Proportional to 7,827.12, 11,751.10 and 4,542.57

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Solution

The fourth proportional to 7,827.12, 11,751.10 and 4,542.57 is: 6,819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.12 : 11,751.10 = 4,542.57 : x
  2. Step 2: Convert to fraction form
    7,827.12/11,751.10 = 4,542.57/x
  3. Step 3: Cross multiply
    7,827.12x = 11,751.10 × 4,542.57
  4. Step 4: Simplify right side
    7,827.12x = 53,380,135.57
  5. Step 5: Solve for x
    x = 53,380,135.57/7,827.12
  6. Step 6: Final answer
    x = 6,819.90

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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.