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Finding the Fourth Proportional to 4,505.28, 6,742.08 and 3,896.64

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Solution

The fourth proportional to 4,505.28, 6,742.08 and 3,896.64 is: 5,831.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.28 : 6,742.08 = 3,896.64 : x
  2. Step 2: Convert to fraction form
    4,505.28/6,742.08 = 3,896.64/x
  3. Step 3: Cross multiply
    4,505.28x = 6,742.08 × 3,896.64
  4. Step 4: Simplify right side
    4,505.28x = 26,271,458.61
  5. Step 5: Solve for x
    x = 26,271,458.61/4,505.28
  6. Step 6: Final answer
    x = 5,831.26

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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.