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Finding the Fourth Proportional to 8,592.96, 12,886 and 4,207.68

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Solution

The fourth proportional to 8,592.96, 12,886 and 4,207.68 is: 6,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,592.96 : 12,886 = 4,207.68 : x
  2. Step 2: Convert to fraction form
    8,592.96/12,886 = 4,207.68/x
  3. Step 3: Cross multiply
    8,592.96x = 12,886 × 4,207.68
  4. Step 4: Simplify right side
    8,592.96x = 54,220,164.48
  5. Step 5: Solve for x
    x = 54,220,164.48/8,592.96
  6. Step 6: Final answer
    x = 6,309.84

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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.