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Finding the Fourth Proportional to 8,204.71, 12,310.14 and 4,920.16

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Solution

The fourth proportional to 8,204.71, 12,310.14 and 4,920.16 is: 7,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.71 : 12,310.14 = 4,920.16 : x
  2. Step 2: Convert to fraction form
    8,204.71/12,310.14 = 4,920.16/x
  3. Step 3: Cross multiply
    8,204.71x = 12,310.14 × 4,920.16
  4. Step 4: Simplify right side
    8,204.71x = 60,567,858.42
  5. Step 5: Solve for x
    x = 60,567,858.42/8,204.71
  6. Step 6: Final answer
    x = 7,382.08

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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.