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Finding the Fourth Proportional to 11,469.78, 15,822.84 and 7,270.74

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Solution

The fourth proportional to 11,469.78, 15,822.84 and 7,270.74 is: 10,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.78 : 15,822.84 = 7,270.74 : x
  2. Step 2: Convert to fraction form
    11,469.78/15,822.84 = 7,270.74/x
  3. Step 3: Cross multiply
    11,469.78x = 15,822.84 × 7,270.74
  4. Step 4: Simplify right side
    11,469.78x = 115,043,755.70
  5. Step 5: Solve for x
    x = 115,043,755.70/11,469.78
  6. Step 6: Final answer
    x = 10,030.16

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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.