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Finding the Fourth Proportional to 12,563, 18,844.88 and 6,319.60

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Solution

The fourth proportional to 12,563, 18,844.88 and 6,319.60 is: 9,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563 : 18,844.88 = 6,319.60 : x
  2. Step 2: Convert to fraction form
    12,563/18,844.88 = 6,319.60/x
  3. Step 3: Cross multiply
    12,563x = 18,844.88 × 6,319.60
  4. Step 4: Simplify right side
    12,563x = 119,092,103.65
  5. Step 5: Solve for x
    x = 119,092,103.65/12,563
  6. Step 6: Final answer
    x = 9,479.59

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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.