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Finding the Fourth Proportional to 5,245.97, 7,828.04 and 4,780.22

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Solution

The fourth proportional to 5,245.97, 7,828.04 and 4,780.22 is: 7,133.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.97 : 7,828.04 = 4,780.22 : x
  2. Step 2: Convert to fraction form
    5,245.97/7,828.04 = 4,780.22/x
  3. Step 3: Cross multiply
    5,245.97x = 7,828.04 × 4,780.22
  4. Step 4: Simplify right side
    5,245.97x = 37,419,726.18
  5. Step 5: Solve for x
    x = 37,419,726.18/5,245.97
  6. Step 6: Final answer
    x = 7,133.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.