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Finding the Fourth Proportional to 12,998.73, 19,494.63 and 3,638.16

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Solution

The fourth proportional to 12,998.73, 19,494.63 and 3,638.16 is: 5,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.73 : 19,494.63 = 3,638.16 : x
  2. Step 2: Convert to fraction form
    12,998.73/19,494.63 = 3,638.16/x
  3. Step 3: Cross multiply
    12,998.73x = 19,494.63 × 3,638.16
  4. Step 4: Simplify right side
    12,998.73x = 70,924,583.08
  5. Step 5: Solve for x
    x = 70,924,583.08/12,998.73
  6. Step 6: Final answer
    x = 5,456.27

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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.