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Finding the Fourth Proportional to 8,564.19, 12,846.09 and 3,947.19

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Solution

The fourth proportional to 8,564.19, 12,846.09 and 3,947.19 is: 5,920.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.19 : 12,846.09 = 3,947.19 : x
  2. Step 2: Convert to fraction form
    8,564.19/12,846.09 = 3,947.19/x
  3. Step 3: Cross multiply
    8,564.19x = 12,846.09 × 3,947.19
  4. Step 4: Simplify right side
    8,564.19x = 50,705,957.99
  5. Step 5: Solve for x
    x = 50,705,957.99/8,564.19
  6. Step 6: Final answer
    x = 5,920.70

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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.