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Finding the Fourth Proportional to 18,219, 27,328.02 and 5,070.84

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Solution

The fourth proportional to 18,219, 27,328.02 and 5,070.84 is: 7,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,219 : 27,328.02 = 5,070.84 : x
  2. Step 2: Convert to fraction form
    18,219/27,328.02 = 5,070.84/x
  3. Step 3: Cross multiply
    18,219x = 27,328.02 × 5,070.84
  4. Step 4: Simplify right side
    18,219x = 138,576,016.94
  5. Step 5: Solve for x
    x = 138,576,016.94/18,219
  6. Step 6: Final answer
    x = 7,606.13

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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.