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Finding the Fourth Proportional to 12,509.65, 18,764.82 and 4,188.12

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Solution

The fourth proportional to 12,509.65, 18,764.82 and 4,188.12 is: 6,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.65 : 18,764.82 = 4,188.12 : x
  2. Step 2: Convert to fraction form
    12,509.65/18,764.82 = 4,188.12/x
  3. Step 3: Cross multiply
    12,509.65x = 18,764.82 × 4,188.12
  4. Step 4: Simplify right side
    12,509.65x = 78,589,317.94
  5. Step 5: Solve for x
    x = 78,589,317.94/12,509.65
  6. Step 6: Final answer
    x = 6,282.30

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1.5x scale

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.