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Finding the Fourth Proportional to 5,438.28, 7,504.86 and 2,954.28

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Solution

The fourth proportional to 5,438.28, 7,504.86 and 2,954.28 is: 4,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.28 : 7,504.86 = 2,954.28 : x
  2. Step 2: Convert to fraction form
    5,438.28/7,504.86 = 2,954.28/x
  3. Step 3: Cross multiply
    5,438.28x = 7,504.86 × 2,954.28
  4. Step 4: Simplify right side
    5,438.28x = 22,171,457.80
  5. Step 5: Solve for x
    x = 22,171,457.80/5,438.28
  6. Step 6: Final answer
    x = 4,076.92

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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.