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Finding the Fourth Proportional to 8,600.40, 12,898.32 and 3,406.32

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Solution

The fourth proportional to 8,600.40, 12,898.32 and 3,406.32 is: 5,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,600.40 : 12,898.32 = 3,406.32 : x
  2. Step 2: Convert to fraction form
    8,600.40/12,898.32 = 3,406.32/x
  3. Step 3: Cross multiply
    8,600.40x = 12,898.32 × 3,406.32
  4. Step 4: Simplify right side
    8,600.40x = 43,935,805.38
  5. Step 5: Solve for x
    x = 43,935,805.38/8,600.40
  6. Step 6: Final answer
    x = 5,108.58

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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.