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Finding the Fourth Proportional to 15,171.84, 20,936.70 and 8,457.30

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Solution

The fourth proportional to 15,171.84, 20,936.70 and 8,457.30 is: 11,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,171.84 : 20,936.70 = 8,457.30 : x
  2. Step 2: Convert to fraction form
    15,171.84/20,936.70 = 8,457.30/x
  3. Step 3: Cross multiply
    15,171.84x = 20,936.70 × 8,457.30
  4. Step 4: Simplify right side
    15,171.84x = 177,067,952.91
  5. Step 5: Solve for x
    x = 177,067,952.91/15,171.84
  6. Step 6: Final answer
    x = 11,670.83

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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.