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Finding the Fourth Proportional to 30,933, 46,361.46 and 14,269.88

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Solution

The fourth proportional to 30,933, 46,361.46 and 14,269.88 is: 21,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,933 : 46,361.46 = 14,269.88 : x
  2. Step 2: Convert to fraction form
    30,933/46,361.46 = 14,269.88/x
  3. Step 3: Cross multiply
    30,933x = 46,361.46 × 14,269.88
  4. Step 4: Simplify right side
    30,933x = 661,572,470.82
  5. Step 5: Solve for x
    x = 661,572,470.82/30,933
  6. Step 6: Final answer
    x = 21,387.27

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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.