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Finding the Fourth Proportional to 12,665.74, 18,999 and 4,345.64

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Solution

The fourth proportional to 12,665.74, 18,999 and 4,345.64 is: 6,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.74 : 18,999 = 4,345.64 : x
  2. Step 2: Convert to fraction form
    12,665.74/18,999 = 4,345.64/x
  3. Step 3: Cross multiply
    12,665.74x = 18,999 × 4,345.64
  4. Step 4: Simplify right side
    12,665.74x = 82,562,861.86
  5. Step 5: Solve for x
    x = 82,562,861.86/12,665.74
  6. Step 6: Final answer
    x = 6,518.60

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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.