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Finding the Fourth Proportional to 8,674.55, 12,998.20 and 6,705

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Solution

The fourth proportional to 8,674.55, 12,998.20 and 6,705 is: 10,046.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.55 : 12,998.20 = 6,705 : x
  2. Step 2: Convert to fraction form
    8,674.55/12,998.20 = 6,705/x
  3. Step 3: Cross multiply
    8,674.55x = 12,998.20 × 6,705
  4. Step 4: Simplify right side
    8,674.55x = 87,152,931
  5. Step 5: Solve for x
    x = 87,152,931/8,674.55
  6. Step 6: Final answer
    x = 10,046.97

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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.