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Finding the Fourth Proportional to 8,405.34, 12,604.77 and 2,857.74

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Solution

The fourth proportional to 8,405.34, 12,604.77 and 2,857.74 is: 4,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.34 : 12,604.77 = 2,857.74 : x
  2. Step 2: Convert to fraction form
    8,405.34/12,604.77 = 2,857.74/x
  3. Step 3: Cross multiply
    8,405.34x = 12,604.77 × 2,857.74
  4. Step 4: Simplify right side
    8,405.34x = 36,021,155.42
  5. Step 5: Solve for x
    x = 36,021,155.42/8,405.34
  6. Step 6: Final answer
    x = 4,285.51

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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.