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Finding the Fourth Proportional to 12,757.84, 17,608.44 and 8,038.96

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Solution

The fourth proportional to 12,757.84, 17,608.44 and 8,038.96 is: 11,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.84 : 17,608.44 = 8,038.96 : x
  2. Step 2: Convert to fraction form
    12,757.84/17,608.44 = 8,038.96/x
  3. Step 3: Cross multiply
    12,757.84x = 17,608.44 × 8,038.96
  4. Step 4: Simplify right side
    12,757.84x = 141,553,544.82
  5. Step 5: Solve for x
    x = 141,553,544.82/12,757.84
  6. Step 6: Final answer
    x = 11,095.42

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1.5x scale

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.