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Finding the Fourth Proportional to 15,727.64, 21,703.92 and 8,653.88

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Solution

The fourth proportional to 15,727.64, 21,703.92 and 8,653.88 is: 11,942.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,727.64 : 21,703.92 = 8,653.88 : x
  2. Step 2: Convert to fraction form
    15,727.64/21,703.92 = 8,653.88/x
  3. Step 3: Cross multiply
    15,727.64x = 21,703.92 × 8,653.88
  4. Step 4: Simplify right side
    15,727.64x = 187,823,119.21
  5. Step 5: Solve for x
    x = 187,823,119.21/15,727.64
  6. Step 6: Final answer
    x = 11,942.23

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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.