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Finding the Fourth Proportional to 8,182.40, 12,274.70 and 2,918.70

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Solution

The fourth proportional to 8,182.40, 12,274.70 and 2,918.70 is: 4,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.40 : 12,274.70 = 2,918.70 : x
  2. Step 2: Convert to fraction form
    8,182.40/12,274.70 = 2,918.70/x
  3. Step 3: Cross multiply
    8,182.40x = 12,274.70 × 2,918.70
  4. Step 4: Simplify right side
    8,182.40x = 35,826,152.30
  5. Step 5: Solve for x
    x = 35,826,152.30/8,182.40
  6. Step 6: Final answer
    x = 4,378.44

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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.