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Finding the Fourth Proportional to 13,808.98, 20,731.54 and 8,196.89

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Solution

The fourth proportional to 13,808.98, 20,731.54 and 8,196.89 is: 12,306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.98 : 20,731.54 = 8,196.89 : x
  2. Step 2: Convert to fraction form
    13,808.98/20,731.54 = 8,196.89/x
  3. Step 3: Cross multiply
    13,808.98x = 20,731.54 × 8,196.89
  4. Step 4: Simplify right side
    13,808.98x = 169,934,111.93
  5. Step 5: Solve for x
    x = 169,934,111.93/13,808.98
  6. Step 6: Final answer
    x = 12,306.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.