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Finding the Fourth Proportional to 8,490, 12,727.32 and 4,327.68

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Solution

The fourth proportional to 8,490, 12,727.32 and 4,327.68 is: 6,487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490 : 12,727.32 = 4,327.68 : x
  2. Step 2: Convert to fraction form
    8,490/12,727.32 = 4,327.68/x
  3. Step 3: Cross multiply
    8,490x = 12,727.32 × 4,327.68
  4. Step 4: Simplify right side
    8,490x = 55,079,768.22
  5. Step 5: Solve for x
    x = 55,079,768.22/8,490
  6. Step 6: Final answer
    x = 6,487.61

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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.