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Finding the Fourth Proportional to 39,702, 54,834.84 and 26,430.96

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Solution

The fourth proportional to 39,702, 54,834.84 and 26,430.96 is: 36,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,702 : 54,834.84 = 26,430.96 : x
  2. Step 2: Convert to fraction form
    39,702/54,834.84 = 26,430.96/x
  3. Step 3: Cross multiply
    39,702x = 54,834.84 × 26,430.96
  4. Step 4: Simplify right side
    39,702x = 1,449,337,462.65
  5. Step 5: Solve for x
    x = 1,449,337,462.65/39,702
  6. Step 6: Final answer
    x = 36,505.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.