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Finding the Fourth Proportional to 8,330.56, 12,494.68 and 2,783.78

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Solution

The fourth proportional to 8,330.56, 12,494.68 and 2,783.78 is: 4,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330.56 : 12,494.68 = 2,783.78 : x
  2. Step 2: Convert to fraction form
    8,330.56/12,494.68 = 2,783.78/x
  3. Step 3: Cross multiply
    8,330.56x = 12,494.68 × 2,783.78
  4. Step 4: Simplify right side
    8,330.56x = 34,782,440.29
  5. Step 5: Solve for x
    x = 34,782,440.29/8,330.56
  6. Step 6: Final answer
    x = 4,175.28

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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.