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Finding the Fourth Proportional to 12,181.80, 18,258 and 5,598.96

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Solution

The fourth proportional to 12,181.80, 18,258 and 5,598.96 is: 8,391.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.80 : 18,258 = 5,598.96 : x
  2. Step 2: Convert to fraction form
    12,181.80/18,258 = 5,598.96/x
  3. Step 3: Cross multiply
    12,181.80x = 18,258 × 5,598.96
  4. Step 4: Simplify right side
    12,181.80x = 102,225,811.68
  5. Step 5: Solve for x
    x = 102,225,811.68/12,181.80
  6. Step 6: Final answer
    x = 8,391.68

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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.