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Finding the Fourth Proportional to 13,145.06, 19,695.32 and 7,940

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Solution

The fourth proportional to 13,145.06, 19,695.32 and 7,940 is: 11,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.06 : 19,695.32 = 7,940 : x
  2. Step 2: Convert to fraction form
    13,145.06/19,695.32 = 7,940/x
  3. Step 3: Cross multiply
    13,145.06x = 19,695.32 × 7,940
  4. Step 4: Simplify right side
    13,145.06x = 156,380,840.80
  5. Step 5: Solve for x
    x = 156,380,840.80/13,145.06
  6. Step 6: Final answer
    x = 11,896.55

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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.