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Finding the Fourth Proportional to 30,821.70, 46,237.86 and 9,761.43

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Solution

The fourth proportional to 30,821.70, 46,237.86 and 9,761.43 is: 14,643.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.70 : 46,237.86 = 9,761.43 : x
  2. Step 2: Convert to fraction form
    30,821.70/46,237.86 = 9,761.43/x
  3. Step 3: Cross multiply
    30,821.70x = 46,237.86 × 9,761.43
  4. Step 4: Simplify right side
    30,821.70x = 451,347,633.74
  5. Step 5: Solve for x
    x = 451,347,633.74/30,821.70
  6. Step 6: Final answer
    x = 14,643.83

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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.