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Finding the Fourth Proportional to 7,076.49, 9,755.79 and 5,645.72

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Solution

The fourth proportional to 7,076.49, 9,755.79 and 5,645.72 is: 7,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.49 : 9,755.79 = 5,645.72 : x
  2. Step 2: Convert to fraction form
    7,076.49/9,755.79 = 5,645.72/x
  3. Step 3: Cross multiply
    7,076.49x = 9,755.79 × 5,645.72
  4. Step 4: Simplify right side
    7,076.49x = 55,078,409.94
  5. Step 5: Solve for x
    x = 55,078,409.94/7,076.49
  6. Step 6: Final answer
    x = 7,783.30

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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.