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Finding the Fourth Proportional to 12,997.62, 19,494.36 and 3,636.63

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Solution

The fourth proportional to 12,997.62, 19,494.36 and 3,636.63 is: 5,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.62 : 19,494.36 = 3,636.63 : x
  2. Step 2: Convert to fraction form
    12,997.62/19,494.36 = 3,636.63/x
  3. Step 3: Cross multiply
    12,997.62x = 19,494.36 × 3,636.63
  4. Step 4: Simplify right side
    12,997.62x = 70,893,774.41
  5. Step 5: Solve for x
    x = 70,893,774.41/12,997.62
  6. Step 6: Final answer
    x = 5,454.37

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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.