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Finding the Fourth Proportional to 14,700.82, 20,288.16 and 8,327.35

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Solution

The fourth proportional to 14,700.82, 20,288.16 and 8,327.35 is: 11,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.82 : 20,288.16 = 8,327.35 : x
  2. Step 2: Convert to fraction form
    14,700.82/20,288.16 = 8,327.35/x
  3. Step 3: Cross multiply
    14,700.82x = 20,288.16 × 8,327.35
  4. Step 4: Simplify right side
    14,700.82x = 168,946,609.18
  5. Step 5: Solve for x
    x = 168,946,609.18/14,700.82
  6. Step 6: Final answer
    x = 11,492.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.