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Finding the Fourth Proportional to 8,206.64, 12,309.96 and 3,827.16

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Solution

The fourth proportional to 8,206.64, 12,309.96 and 3,827.16 is: 5,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.64 : 12,309.96 = 3,827.16 : x
  2. Step 2: Convert to fraction form
    8,206.64/12,309.96 = 3,827.16/x
  3. Step 3: Cross multiply
    8,206.64x = 12,309.96 × 3,827.16
  4. Step 4: Simplify right side
    8,206.64x = 47,112,186.51
  5. Step 5: Solve for x
    x = 47,112,186.51/8,206.64
  6. Step 6: Final answer
    x = 5,740.74

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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.