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Finding the Fourth Proportional to 3,954.70, 5,457.32 and 2,274.96

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Solution

The fourth proportional to 3,954.70, 5,457.32 and 2,274.96 is: 3,139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.70 : 5,457.32 = 2,274.96 : x
  2. Step 2: Convert to fraction form
    3,954.70/5,457.32 = 2,274.96/x
  3. Step 3: Cross multiply
    3,954.70x = 5,457.32 × 2,274.96
  4. Step 4: Simplify right side
    3,954.70x = 12,415,184.71
  5. Step 5: Solve for x
    x = 12,415,184.71/3,954.70
  6. Step 6: Final answer
    x = 3,139.35

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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.