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Finding the Fourth Proportional to 8,354.72, 12,527.21 and 3,161.00

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Solution

The fourth proportional to 8,354.72, 12,527.21 and 3,161.00 is: 4,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.72 : 12,527.21 = 3,161.00 : x
  2. Step 2: Convert to fraction form
    8,354.72/12,527.21 = 3,161.00/x
  3. Step 3: Cross multiply
    8,354.72x = 12,527.21 × 3,161.00
  4. Step 4: Simplify right side
    8,354.72x = 39,598,432.37
  5. Step 5: Solve for x
    x = 39,598,432.37/8,354.72
  6. Step 6: Final answer
    x = 4,739.65

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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.