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Finding the Fourth Proportional to 8,141.83, 12,212.76 and 2,946.49

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Solution

The fourth proportional to 8,141.83, 12,212.76 and 2,946.49 is: 4,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.83 : 12,212.76 = 2,946.49 : x
  2. Step 2: Convert to fraction form
    8,141.83/12,212.76 = 2,946.49/x
  3. Step 3: Cross multiply
    8,141.83x = 12,212.76 × 2,946.49
  4. Step 4: Simplify right side
    8,141.83x = 35,984,775.21
  5. Step 5: Solve for x
    x = 35,984,775.21/8,141.83
  6. Step 6: Final answer
    x = 4,419.74

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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.