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Finding the Fourth Proportional to 8,286.72, 12,430.08 and 3,089.76

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Solution

The fourth proportional to 8,286.72, 12,430.08 and 3,089.76 is: 4,634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.72 : 12,430.08 = 3,089.76 : x
  2. Step 2: Convert to fraction form
    8,286.72/12,430.08 = 3,089.76/x
  3. Step 3: Cross multiply
    8,286.72x = 12,430.08 × 3,089.76
  4. Step 4: Simplify right side
    8,286.72x = 38,405,963.98
  5. Step 5: Solve for x
    x = 38,405,963.98/8,286.72
  6. Step 6: Final answer
    x = 4,634.64

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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.