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Finding the Fourth Proportional to 11,755, 17,632.50 and 3,547

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Solution

The fourth proportional to 11,755, 17,632.50 and 3,547 is: 5,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755 : 17,632.50 = 3,547 : x
  2. Step 2: Convert to fraction form
    11,755/17,632.50 = 3,547/x
  3. Step 3: Cross multiply
    11,755x = 17,632.50 × 3,547
  4. Step 4: Simplify right side
    11,755x = 62,542,477.50
  5. Step 5: Solve for x
    x = 62,542,477.50/11,755
  6. Step 6: Final answer
    x = 5,320.50

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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.