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Finding the Fourth Proportional to 12,462, 18,697.05 and 8,717.64

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Solution

The fourth proportional to 12,462, 18,697.05 and 8,717.64 is: 13,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462 : 18,697.05 = 8,717.64 : x
  2. Step 2: Convert to fraction form
    12,462/18,697.05 = 8,717.64/x
  3. Step 3: Cross multiply
    12,462x = 18,697.05 × 8,717.64
  4. Step 4: Simplify right side
    12,462x = 162,994,150.96
  5. Step 5: Solve for x
    x = 162,994,150.96/12,462
  6. Step 6: Final answer
    x = 13,079.29

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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.