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Finding the Fourth Proportional to 8,471.03, 12,704.70 and 4,313.30

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Solution

The fourth proportional to 8,471.03, 12,704.70 and 4,313.30 is: 6,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.03 : 12,704.70 = 4,313.30 : x
  2. Step 2: Convert to fraction form
    8,471.03/12,704.70 = 4,313.30/x
  3. Step 3: Cross multiply
    8,471.03x = 12,704.70 × 4,313.30
  4. Step 4: Simplify right side
    8,471.03x = 54,799,182.51
  5. Step 5: Solve for x
    x = 54,799,182.51/8,471.03
  6. Step 6: Final answer
    x = 6,469.01

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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.