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Finding the Fourth Proportional to 8,605.64, 12,897.12 and 3,408.68

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Solution

The fourth proportional to 8,605.64, 12,897.12 and 3,408.68 is: 5,108.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.64 : 12,897.12 = 3,408.68 : x
  2. Step 2: Convert to fraction form
    8,605.64/12,897.12 = 3,408.68/x
  3. Step 3: Cross multiply
    8,605.64x = 12,897.12 × 3,408.68
  4. Step 4: Simplify right side
    8,605.64x = 43,962,155.00
  5. Step 5: Solve for x
    x = 43,962,155.00/8,605.64
  6. Step 6: Final answer
    x = 5,108.53

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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.