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Finding the Fourth Proportional to 12,562.81, 18,844.61 and 6,319.41

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Solution

The fourth proportional to 12,562.81, 18,844.61 and 6,319.41 is: 9,479.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.81 : 18,844.61 = 6,319.41 : x
  2. Step 2: Convert to fraction form
    12,562.81/18,844.61 = 6,319.41/x
  3. Step 3: Cross multiply
    12,562.81x = 18,844.61 × 6,319.41
  4. Step 4: Simplify right side
    12,562.81x = 119,086,785.28
  5. Step 5: Solve for x
    x = 119,086,785.28/12,562.81
  6. Step 6: Final answer
    x = 9,479.31

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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.