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Finding the Fourth Proportional to 12,574, 18,861.91 and 3,809.60

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Solution

The fourth proportional to 12,574, 18,861.91 and 3,809.60 is: 5,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574 : 18,861.91 = 3,809.60 : x
  2. Step 2: Convert to fraction form
    12,574/18,861.91 = 3,809.60/x
  3. Step 3: Cross multiply
    12,574x = 18,861.91 × 3,809.60
  4. Step 4: Simplify right side
    12,574x = 71,856,332.34
  5. Step 5: Solve for x
    x = 71,856,332.34/12,574
  6. Step 6: Final answer
    x = 5,714.68

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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.