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Finding the Fourth Proportional to 18,214, 27,314.90 and 7,117.80

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Solution

The fourth proportional to 18,214, 27,314.90 and 7,117.80 is: 10,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214 : 27,314.90 = 7,117.80 : x
  2. Step 2: Convert to fraction form
    18,214/27,314.90 = 7,117.80/x
  3. Step 3: Cross multiply
    18,214x = 27,314.90 × 7,117.80
  4. Step 4: Simplify right side
    18,214x = 194,421,995.22
  5. Step 5: Solve for x
    x = 194,421,995.22/18,214
  6. Step 6: Final answer
    x = 10,674.32

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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.