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Finding the Fourth Proportional to 14,720.96, 20,312.80 and 8,096.96

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Solution

The fourth proportional to 14,720.96, 20,312.80 and 8,096.96 is: 11,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,720.96 : 20,312.80 = 8,096.96 : x
  2. Step 2: Convert to fraction form
    14,720.96/20,312.80 = 8,096.96/x
  3. Step 3: Cross multiply
    14,720.96x = 20,312.80 × 8,096.96
  4. Step 4: Simplify right side
    14,720.96x = 164,471,929.09
  5. Step 5: Solve for x
    x = 164,471,929.09/14,720.96
  6. Step 6: Final answer
    x = 11,172.64

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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.