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Finding the Fourth Proportional to 8,405.68, 12,606.49 and 3,723.10

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Solution

The fourth proportional to 8,405.68, 12,606.49 and 3,723.10 is: 5,583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.68 : 12,606.49 = 3,723.10 : x
  2. Step 2: Convert to fraction form
    8,405.68/12,606.49 = 3,723.10/x
  3. Step 3: Cross multiply
    8,405.68x = 12,606.49 × 3,723.10
  4. Step 4: Simplify right side
    8,405.68x = 46,935,222.92
  5. Step 5: Solve for x
    x = 46,935,222.92/8,405.68
  6. Step 6: Final answer
    x = 5,583.75

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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.