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Finding the Fourth Proportional to 7,792.52, 10,755.48 and 5,140.40

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Solution

The fourth proportional to 7,792.52, 10,755.48 and 5,140.40 is: 7,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.52 : 10,755.48 = 5,140.40 : x
  2. Step 2: Convert to fraction form
    7,792.52/10,755.48 = 5,140.40/x
  3. Step 3: Cross multiply
    7,792.52x = 10,755.48 × 5,140.40
  4. Step 4: Simplify right side
    7,792.52x = 55,287,469.39
  5. Step 5: Solve for x
    x = 55,287,469.39/7,792.52
  6. Step 6: Final answer
    x = 7,094.94

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1.5x scale

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.