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Finding the Fourth Proportional to 8,627.96, 12,939.20 and 2,783.20

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Solution

The fourth proportional to 8,627.96, 12,939.20 and 2,783.20 is: 4,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.96 : 12,939.20 = 2,783.20 : x
  2. Step 2: Convert to fraction form
    8,627.96/12,939.20 = 2,783.20/x
  3. Step 3: Cross multiply
    8,627.96x = 12,939.20 × 2,783.20
  4. Step 4: Simplify right side
    8,627.96x = 36,012,381.44
  5. Step 5: Solve for x
    x = 36,012,381.44/8,627.96
  6. Step 6: Final answer
    x = 4,173.92

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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.