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Finding the Fourth Proportional to 5,728.75, 7,905.68 and 3,244.75

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Solution

The fourth proportional to 5,728.75, 7,905.68 and 3,244.75 is: 4,477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.75 : 7,905.68 = 3,244.75 : x
  2. Step 2: Convert to fraction form
    5,728.75/7,905.68 = 3,244.75/x
  3. Step 3: Cross multiply
    5,728.75x = 7,905.68 × 3,244.75
  4. Step 4: Simplify right side
    5,728.75x = 25,651,955.18
  5. Step 5: Solve for x
    x = 25,651,955.18/5,728.75
  6. Step 6: Final answer
    x = 4,477.76

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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.