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Finding the Fourth Proportional to 5,727.98, 7,904.90 and 3,489.48

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Solution

The fourth proportional to 5,727.98, 7,904.90 and 3,489.48 is: 4,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.98 : 7,904.90 = 3,489.48 : x
  2. Step 2: Convert to fraction form
    5,727.98/7,904.90 = 3,489.48/x
  3. Step 3: Cross multiply
    5,727.98x = 7,904.90 × 3,489.48
  4. Step 4: Simplify right side
    5,727.98x = 27,583,999.18
  5. Step 5: Solve for x
    x = 27,583,999.18/5,727.98
  6. Step 6: Final answer
    x = 4,815.66

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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.