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Finding the Fourth Proportional to 8,520.50, 12,780.76 and 2,364.50

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Solution

The fourth proportional to 8,520.50, 12,780.76 and 2,364.50 is: 3,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,520.50 : 12,780.76 = 2,364.50 : x
  2. Step 2: Convert to fraction form
    8,520.50/12,780.76 = 2,364.50/x
  3. Step 3: Cross multiply
    8,520.50x = 12,780.76 × 2,364.50
  4. Step 4: Simplify right side
    8,520.50x = 30,220,107.02
  5. Step 5: Solve for x
    x = 30,220,107.02/8,520.50
  6. Step 6: Final answer
    x = 3,546.75

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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.