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Finding the Fourth Proportional to 18,530.30, 27,802.50 and 11,139.86

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Solution

The fourth proportional to 18,530.30, 27,802.50 and 11,139.86 is: 16,714.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,530.30 : 27,802.50 = 11,139.86 : x
  2. Step 2: Convert to fraction form
    18,530.30/27,802.50 = 11,139.86/x
  3. Step 3: Cross multiply
    18,530.30x = 27,802.50 × 11,139.86
  4. Step 4: Simplify right side
    18,530.30x = 309,715,957.65
  5. Step 5: Solve for x
    x = 309,715,957.65/18,530.30
  6. Step 6: Final answer
    x = 16,714.03

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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.