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Finding the Fourth Proportional to 14,871, 20,521.98 and 8,247

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Solution

The fourth proportional to 14,871, 20,521.98 and 8,247 is: 11,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871 : 20,521.98 = 8,247 : x
  2. Step 2: Convert to fraction form
    14,871/20,521.98 = 8,247/x
  3. Step 3: Cross multiply
    14,871x = 20,521.98 × 8,247
  4. Step 4: Simplify right side
    14,871x = 169,244,769.06
  5. Step 5: Solve for x
    x = 169,244,769.06/14,871
  6. Step 6: Final answer
    x = 11,380.86

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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.