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Finding the Fourth Proportional to 18,242.50, 25,174.65 and 9,859

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Solution

The fourth proportional to 18,242.50, 25,174.65 and 9,859 is: 13,605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,242.50 : 25,174.65 = 9,859 : x
  2. Step 2: Convert to fraction form
    18,242.50/25,174.65 = 9,859/x
  3. Step 3: Cross multiply
    18,242.50x = 25,174.65 × 9,859
  4. Step 4: Simplify right side
    18,242.50x = 248,196,874.35
  5. Step 5: Solve for x
    x = 248,196,874.35/18,242.50
  6. Step 6: Final answer
    x = 13,605.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.