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Finding the Fourth Proportional to 8,310.84, 12,472.44 and 3,929.64

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Solution

The fourth proportional to 8,310.84, 12,472.44 and 3,929.64 is: 5,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.84 : 12,472.44 = 3,929.64 : x
  2. Step 2: Convert to fraction form
    8,310.84/12,472.44 = 3,929.64/x
  3. Step 3: Cross multiply
    8,310.84x = 12,472.44 × 3,929.64
  4. Step 4: Simplify right side
    8,310.84x = 49,012,199.12
  5. Step 5: Solve for x
    x = 49,012,199.12/8,310.84
  6. Step 6: Final answer
    x = 5,897.38

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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.