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Finding the Fourth Proportional to 8,310.72, 12,463.64 and 6,846.24

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Solution

The fourth proportional to 8,310.72, 12,463.64 and 6,846.24 is: 10,267.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.72 : 12,463.64 = 6,846.24 : x
  2. Step 2: Convert to fraction form
    8,310.72/12,463.64 = 6,846.24/x
  3. Step 3: Cross multiply
    8,310.72x = 12,463.64 × 6,846.24
  4. Step 4: Simplify right side
    8,310.72x = 85,329,070.71
  5. Step 5: Solve for x
    x = 85,329,070.71/8,310.72
  6. Step 6: Final answer
    x = 10,267.35

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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.