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Finding the Fourth Proportional to 18,198.19, 27,303.96 and 7,670.86

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Solution

The fourth proportional to 18,198.19, 27,303.96 and 7,670.86 is: 11,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,198.19 : 27,303.96 = 7,670.86 : x
  2. Step 2: Convert to fraction form
    18,198.19/27,303.96 = 7,670.86/x
  3. Step 3: Cross multiply
    18,198.19x = 27,303.96 × 7,670.86
  4. Step 4: Simplify right side
    18,198.19x = 209,444,854.61
  5. Step 5: Solve for x
    x = 209,444,854.61/18,198.19
  6. Step 6: Final answer
    x = 11,509.10

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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.