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Finding the Fourth Proportional to 12,784.91, 17,642.84 and 12,407.65

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Solution

The fourth proportional to 12,784.91, 17,642.84 and 12,407.65 is: 17,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.91 : 17,642.84 = 12,407.65 : x
  2. Step 2: Convert to fraction form
    12,784.91/17,642.84 = 12,407.65/x
  3. Step 3: Cross multiply
    12,784.91x = 17,642.84 × 12,407.65
  4. Step 4: Simplify right side
    12,784.91x = 218,906,170.64
  5. Step 5: Solve for x
    x = 218,906,170.64/12,784.91
  6. Step 6: Final answer
    x = 17,122.24

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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.