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Finding the Fourth Proportional to 14,786.96, 20,405.08 and 8,071.21

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Solution

The fourth proportional to 14,786.96, 20,405.08 and 8,071.21 is: 11,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.96 : 20,405.08 = 8,071.21 : x
  2. Step 2: Convert to fraction form
    14,786.96/20,405.08 = 8,071.21/x
  3. Step 3: Cross multiply
    14,786.96x = 20,405.08 × 8,071.21
  4. Step 4: Simplify right side
    14,786.96x = 164,693,721.34
  5. Step 5: Solve for x
    x = 164,693,721.34/14,786.96
  6. Step 6: Final answer
    x = 11,137.77

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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.