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Finding the Fourth Proportional to 8,537.68, 12,807.60 and 3,342.88

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Solution

The fourth proportional to 8,537.68, 12,807.60 and 3,342.88 is: 5,014.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.68 : 12,807.60 = 3,342.88 : x
  2. Step 2: Convert to fraction form
    8,537.68/12,807.60 = 3,342.88/x
  3. Step 3: Cross multiply
    8,537.68x = 12,807.60 × 3,342.88
  4. Step 4: Simplify right side
    8,537.68x = 42,814,237.87
  5. Step 5: Solve for x
    x = 42,814,237.87/8,537.68
  6. Step 6: Final answer
    x = 5,014.74

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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.