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Finding the Fourth Proportional to 12,781.65, 17,653.44 and 8,525.31

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Solution

The fourth proportional to 12,781.65, 17,653.44 and 8,525.31 is: 11,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,781.65 : 17,653.44 = 8,525.31 : x
  2. Step 2: Convert to fraction form
    12,781.65/17,653.44 = 8,525.31/x
  3. Step 3: Cross multiply
    12,781.65x = 17,653.44 × 8,525.31
  4. Step 4: Simplify right side
    12,781.65x = 150,501,065.68
  5. Step 5: Solve for x
    x = 150,501,065.68/12,781.65
  6. Step 6: Final answer
    x = 11,774.78

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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.