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Finding the Fourth Proportional to 8,470.83, 12,714.05 and 4,313.82

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Solution

The fourth proportional to 8,470.83, 12,714.05 and 4,313.82 is: 6,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.83 : 12,714.05 = 4,313.82 : x
  2. Step 2: Convert to fraction form
    8,470.83/12,714.05 = 4,313.82/x
  3. Step 3: Cross multiply
    8,470.83x = 12,714.05 × 4,313.82
  4. Step 4: Simplify right side
    8,470.83x = 54,846,101.60
  5. Step 5: Solve for x
    x = 54,846,101.60/8,470.83
  6. Step 6: Final answer
    x = 6,474.70

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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.