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Finding the Fourth Proportional to 26,453, 39,686.34 and 9,817.78

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Solution

The fourth proportional to 26,453, 39,686.34 and 9,817.78 is: 14,729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,453 : 39,686.34 = 9,817.78 : x
  2. Step 2: Convert to fraction form
    26,453/39,686.34 = 9,817.78/x
  3. Step 3: Cross multiply
    26,453x = 39,686.34 × 9,817.78
  4. Step 4: Simplify right side
    26,453x = 389,631,755.13
  5. Step 5: Solve for x
    x = 389,631,755.13/26,453
  6. Step 6: Final answer
    x = 14,729.21

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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.