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Finding the Fourth Proportional to 12,745, 17,589.72 and 7,156

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Solution

The fourth proportional to 12,745, 17,589.72 and 7,156 is: 9,876.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,745 : 17,589.72 = 7,156 : x
  2. Step 2: Convert to fraction form
    12,745/17,589.72 = 7,156/x
  3. Step 3: Cross multiply
    12,745x = 17,589.72 × 7,156
  4. Step 4: Simplify right side
    12,745x = 125,872,036.32
  5. Step 5: Solve for x
    x = 125,872,036.32/12,745
  6. Step 6: Final answer
    x = 9,876.19

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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.