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Finding the Fourth Proportional to 8,614.94, 12,914.20 and 2,767.45

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Solution

The fourth proportional to 8,614.94, 12,914.20 and 2,767.45 is: 4,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.94 : 12,914.20 = 2,767.45 : x
  2. Step 2: Convert to fraction form
    8,614.94/12,914.20 = 2,767.45/x
  3. Step 3: Cross multiply
    8,614.94x = 12,914.20 × 2,767.45
  4. Step 4: Simplify right side
    8,614.94x = 35,739,402.79
  5. Step 5: Solve for x
    x = 35,739,402.79/8,614.94
  6. Step 6: Final answer
    x = 4,148.54

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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.