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Finding the Fourth Proportional to 8,509.96, 12,768.46 and 3,763.62

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Solution

The fourth proportional to 8,509.96, 12,768.46 and 3,763.62 is: 5,646.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.96 : 12,768.46 = 3,763.62 : x
  2. Step 2: Convert to fraction form
    8,509.96/12,768.46 = 3,763.62/x
  3. Step 3: Cross multiply
    8,509.96x = 12,768.46 × 3,763.62
  4. Step 4: Simplify right side
    8,509.96x = 48,055,622.02
  5. Step 5: Solve for x
    x = 48,055,622.02/8,509.96
  6. Step 6: Final answer
    x = 5,646.98

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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.