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Finding the Fourth Proportional to 12,938, 17,849.72 and 8,464.32

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Solution

The fourth proportional to 12,938, 17,849.72 and 8,464.32 is: 11,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938 : 17,849.72 = 8,464.32 : x
  2. Step 2: Convert to fraction form
    12,938/17,849.72 = 8,464.32/x
  3. Step 3: Cross multiply
    12,938x = 17,849.72 × 8,464.32
  4. Step 4: Simplify right side
    12,938x = 151,085,741.99
  5. Step 5: Solve for x
    x = 151,085,741.99/12,938
  6. Step 6: Final answer
    x = 11,677.67

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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.