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Finding the Fourth Proportional to 8,426.16, 12,647 and 4,269.06

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Solution

The fourth proportional to 8,426.16, 12,647 and 4,269.06 is: 6,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.16 : 12,647 = 4,269.06 : x
  2. Step 2: Convert to fraction form
    8,426.16/12,647 = 4,269.06/x
  3. Step 3: Cross multiply
    8,426.16x = 12,647 × 4,269.06
  4. Step 4: Simplify right side
    8,426.16x = 53,990,801.82
  5. Step 5: Solve for x
    x = 53,990,801.82/8,426.16
  6. Step 6: Final answer
    x = 6,407.52

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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.