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Finding the Fourth Proportional to 8,310.78, 12,451.56 and 7,406.82

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Solution

The fourth proportional to 8,310.78, 12,451.56 and 7,406.82 is: 11,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.78 : 12,451.56 = 7,406.82 : x
  2. Step 2: Convert to fraction form
    8,310.78/12,451.56 = 7,406.82/x
  3. Step 3: Cross multiply
    8,310.78x = 12,451.56 × 7,406.82
  4. Step 4: Simplify right side
    8,310.78x = 92,226,463.64
  5. Step 5: Solve for x
    x = 92,226,463.64/8,310.78
  6. Step 6: Final answer
    x = 11,097.21

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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.