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Finding the Fourth Proportional to 8,214.54, 12,321.54 and 2,371.74

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Solution

The fourth proportional to 8,214.54, 12,321.54 and 2,371.74 is: 3,557.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.54 : 12,321.54 = 2,371.74 : x
  2. Step 2: Convert to fraction form
    8,214.54/12,321.54 = 2,371.74/x
  3. Step 3: Cross multiply
    8,214.54x = 12,321.54 × 2,371.74
  4. Step 4: Simplify right side
    8,214.54x = 29,223,489.28
  5. Step 5: Solve for x
    x = 29,223,489.28/8,214.54
  6. Step 6: Final answer
    x = 3,557.53

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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.