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Finding the Fourth Proportional to 11,805.50, 17,705 and 4,412.90

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Solution

The fourth proportional to 11,805.50, 17,705 and 4,412.90 is: 6,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.50 : 17,705 = 4,412.90 : x
  2. Step 2: Convert to fraction form
    11,805.50/17,705 = 4,412.90/x
  3. Step 3: Cross multiply
    11,805.50x = 17,705 × 4,412.90
  4. Step 4: Simplify right side
    11,805.50x = 78,130,394.50
  5. Step 5: Solve for x
    x = 78,130,394.50/11,805.50
  6. Step 6: Final answer
    x = 6,618.14

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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.