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Finding the Fourth Proportional to 8,470.81, 12,714.02 and 4,313.81

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Solution

The fourth proportional to 8,470.81, 12,714.02 and 4,313.81 is: 6,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.81 : 12,714.02 = 4,313.81 : x
  2. Step 2: Convert to fraction form
    8,470.81/12,714.02 = 4,313.81/x
  3. Step 3: Cross multiply
    8,470.81x = 12,714.02 × 4,313.81
  4. Step 4: Simplify right side
    8,470.81x = 54,845,866.62
  5. Step 5: Solve for x
    x = 54,845,866.62/8,470.81
  6. Step 6: Final answer
    x = 6,474.69

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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.