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Finding the Fourth Proportional to 3,920.50, 5,411.04 and 2,327.50

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Solution

The fourth proportional to 3,920.50, 5,411.04 and 2,327.50 is: 3,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.50 : 5,411.04 = 2,327.50 : x
  2. Step 2: Convert to fraction form
    3,920.50/5,411.04 = 2,327.50/x
  3. Step 3: Cross multiply
    3,920.50x = 5,411.04 × 2,327.50
  4. Step 4: Simplify right side
    3,920.50x = 12,594,195.60
  5. Step 5: Solve for x
    x = 12,594,195.60/3,920.50
  6. Step 6: Final answer
    x = 3,212.40

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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.