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Finding the Fourth Proportional to 12,564.54, 18,847.23 and 6,321.15

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Solution

The fourth proportional to 12,564.54, 18,847.23 and 6,321.15 is: 9,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.54 : 18,847.23 = 6,321.15 : x
  2. Step 2: Convert to fraction form
    12,564.54/18,847.23 = 6,321.15/x
  3. Step 3: Cross multiply
    12,564.54x = 18,847.23 × 6,321.15
  4. Step 4: Simplify right side
    12,564.54x = 119,136,167.91
  5. Step 5: Solve for x
    x = 119,136,167.91/12,564.54
  6. Step 6: Final answer
    x = 9,481.94

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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.