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Finding the Fourth Proportional to 18,354.81, 27,513.32 and 7,257

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Solution

The fourth proportional to 18,354.81, 27,513.32 and 7,257 is: 10,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,354.81 : 27,513.32 = 7,257 : x
  2. Step 2: Convert to fraction form
    18,354.81/27,513.32 = 7,257/x
  3. Step 3: Cross multiply
    18,354.81x = 27,513.32 × 7,257
  4. Step 4: Simplify right side
    18,354.81x = 199,664,126.96
  5. Step 5: Solve for x
    x = 199,664,126.96/18,354.81
  6. Step 6: Final answer
    x = 10,878.03

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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.