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Finding the Fourth Proportional to 8,420, 12,620.36 and 4,723.92

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Solution

The fourth proportional to 8,420, 12,620.36 and 4,723.92 is: 7,080.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420 : 12,620.36 = 4,723.92 : x
  2. Step 2: Convert to fraction form
    8,420/12,620.36 = 4,723.92/x
  3. Step 3: Cross multiply
    8,420x = 12,620.36 × 4,723.92
  4. Step 4: Simplify right side
    8,420x = 59,617,571.01
  5. Step 5: Solve for x
    x = 59,617,571.01/8,420
  6. Step 6: Final answer
    x = 7,080.47

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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.