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Finding the Fourth Proportional to 12,494.50, 17,242.43 and 6,905.50

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Solution

The fourth proportional to 12,494.50, 17,242.43 and 6,905.50 is: 9,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.50 : 17,242.43 = 6,905.50 : x
  2. Step 2: Convert to fraction form
    12,494.50/17,242.43 = 6,905.50/x
  3. Step 3: Cross multiply
    12,494.50x = 17,242.43 × 6,905.50
  4. Step 4: Simplify right side
    12,494.50x = 119,067,600.37
  5. Step 5: Solve for x
    x = 119,067,600.37/12,494.50
  6. Step 6: Final answer
    x = 9,529.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.