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Finding the Fourth Proportional to 5,321.85, 7,976.30 and 4,661.97

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Solution

The fourth proportional to 5,321.85, 7,976.30 and 4,661.97 is: 6,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.85 : 7,976.30 = 4,661.97 : x
  2. Step 2: Convert to fraction form
    5,321.85/7,976.30 = 4,661.97/x
  3. Step 3: Cross multiply
    5,321.85x = 7,976.30 × 4,661.97
  4. Step 4: Simplify right side
    5,321.85x = 37,185,248.00
  5. Step 5: Solve for x
    x = 37,185,248.00/5,321.85
  6. Step 6: Final answer
    x = 6,987.28

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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.