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Finding the Fourth Proportional to 8,484.34, 12,728.34 and 2,560.73

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Solution

The fourth proportional to 8,484.34, 12,728.34 and 2,560.73 is: 3,841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.34 : 12,728.34 = 2,560.73 : x
  2. Step 2: Convert to fraction form
    8,484.34/12,728.34 = 2,560.73/x
  3. Step 3: Cross multiply
    8,484.34x = 12,728.34 × 2,560.73
  4. Step 4: Simplify right side
    8,484.34x = 32,593,816.58
  5. Step 5: Solve for x
    x = 32,593,816.58/8,484.34
  6. Step 6: Final answer
    x = 3,841.64

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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.