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Finding the Fourth Proportional to 8,602, 12,905.16 and 2,446

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Solution

The fourth proportional to 8,602, 12,905.16 and 2,446 is: 3,669.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602 : 12,905.16 = 2,446 : x
  2. Step 2: Convert to fraction form
    8,602/12,905.16 = 2,446/x
  3. Step 3: Cross multiply
    8,602x = 12,905.16 × 2,446
  4. Step 4: Simplify right side
    8,602x = 31,566,021.36
  5. Step 5: Solve for x
    x = 31,566,021.36/8,602
  6. Step 6: Final answer
    x = 3,669.61

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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.