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Finding the Fourth Proportional to 7,917.20, 11,863.20 and 4,214.60

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Solution

The fourth proportional to 7,917.20, 11,863.20 and 4,214.60 is: 6,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.20 : 11,863.20 = 4,214.60 : x
  2. Step 2: Convert to fraction form
    7,917.20/11,863.20 = 4,214.60/x
  3. Step 3: Cross multiply
    7,917.20x = 11,863.20 × 4,214.60
  4. Step 4: Simplify right side
    7,917.20x = 49,998,642.72
  5. Step 5: Solve for x
    x = 49,998,642.72/7,917.20
  6. Step 6: Final answer
    x = 6,315.19

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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.