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Finding the Fourth Proportional to 12,853, 17,737.14 and 6,965

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Solution

The fourth proportional to 12,853, 17,737.14 and 6,965 is: 9,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853 : 17,737.14 = 6,965 : x
  2. Step 2: Convert to fraction form
    12,853/17,737.14 = 6,965/x
  3. Step 3: Cross multiply
    12,853x = 17,737.14 × 6,965
  4. Step 4: Simplify right side
    12,853x = 123,539,180.10
  5. Step 5: Solve for x
    x = 123,539,180.10/12,853
  6. Step 6: Final answer
    x = 9,611.70

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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.