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Finding the Fourth Proportional to 5,601.12, 7,728.12 and 3,738.48

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Solution

The fourth proportional to 5,601.12, 7,728.12 and 3,738.48 is: 5,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.12 : 7,728.12 = 3,738.48 : x
  2. Step 2: Convert to fraction form
    5,601.12/7,728.12 = 3,738.48/x
  3. Step 3: Cross multiply
    5,601.12x = 7,728.12 × 3,738.48
  4. Step 4: Simplify right side
    5,601.12x = 28,891,422.06
  5. Step 5: Solve for x
    x = 28,891,422.06/5,601.12
  6. Step 6: Final answer
    x = 5,158.15

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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.