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Finding the Fourth Proportional to 12,648.96, 18,972.90 and 7,487.64

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Solution

The fourth proportional to 12,648.96, 18,972.90 and 7,487.64 is: 11,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.96 : 18,972.90 = 7,487.64 : x
  2. Step 2: Convert to fraction form
    12,648.96/18,972.90 = 7,487.64/x
  3. Step 3: Cross multiply
    12,648.96x = 18,972.90 × 7,487.64
  4. Step 4: Simplify right side
    12,648.96x = 142,062,244.96
  5. Step 5: Solve for x
    x = 142,062,244.96/12,648.96
  6. Step 6: Final answer
    x = 11,231.14

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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.