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Finding the Fourth Proportional to 7,755, 11,632.33 and 1,911.66

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Solution

The fourth proportional to 7,755, 11,632.33 and 1,911.66 is: 2,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755 : 11,632.33 = 1,911.66 : x
  2. Step 2: Convert to fraction form
    7,755/11,632.33 = 1,911.66/x
  3. Step 3: Cross multiply
    7,755x = 11,632.33 × 1,911.66
  4. Step 4: Simplify right side
    7,755x = 22,237,059.97
  5. Step 5: Solve for x
    x = 22,237,059.97/7,755
  6. Step 6: Final answer
    x = 2,867.45

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Double scale
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1.5x scale

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.