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Finding the Fourth Proportional to 12,372, 17,074.44 and 6,784.08

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Solution

The fourth proportional to 12,372, 17,074.44 and 6,784.08 is: 9,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372 : 17,074.44 = 6,784.08 : x
  2. Step 2: Convert to fraction form
    12,372/17,074.44 = 6,784.08/x
  3. Step 3: Cross multiply
    12,372x = 17,074.44 × 6,784.08
  4. Step 4: Simplify right side
    12,372x = 115,834,366.92
  5. Step 5: Solve for x
    x = 115,834,366.92/12,372
  6. Step 6: Final answer
    x = 9,362.62

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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.