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Finding the Fourth Proportional to 12,934, 19,404.96 and 8,989.30

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Solution

The fourth proportional to 12,934, 19,404.96 and 8,989.30 is: 13,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,934 : 19,404.96 = 8,989.30 : x
  2. Step 2: Convert to fraction form
    12,934/19,404.96 = 8,989.30/x
  3. Step 3: Cross multiply
    12,934x = 19,404.96 × 8,989.30
  4. Step 4: Simplify right side
    12,934x = 174,437,006.93
  5. Step 5: Solve for x
    x = 174,437,006.93/12,934
  6. Step 6: Final answer
    x = 13,486.70

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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.