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Finding the Fourth Proportional to 26,849.70, 40,289.16 and 12,998.70

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Solution

The fourth proportional to 26,849.70, 40,289.16 and 12,998.70 is: 19,505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,849.70 : 40,289.16 = 12,998.70 : x
  2. Step 2: Convert to fraction form
    26,849.70/40,289.16 = 12,998.70/x
  3. Step 3: Cross multiply
    26,849.70x = 40,289.16 × 12,998.70
  4. Step 4: Simplify right side
    26,849.70x = 523,706,704.09
  5. Step 5: Solve for x
    x = 523,706,704.09/26,849.70
  6. Step 6: Final answer
    x = 19,505.12

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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.