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Finding the Fourth Proportional to 12,643.56, 18,942.64 and 7,446.60

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Solution

The fourth proportional to 12,643.56, 18,942.64 and 7,446.60 is: 11,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.56 : 18,942.64 = 7,446.60 : x
  2. Step 2: Convert to fraction form
    12,643.56/18,942.64 = 7,446.60/x
  3. Step 3: Cross multiply
    12,643.56x = 18,942.64 × 7,446.60
  4. Step 4: Simplify right side
    12,643.56x = 141,058,263.02
  5. Step 5: Solve for x
    x = 141,058,263.02/12,643.56
  6. Step 6: Final answer
    x = 11,156.53

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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.