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Finding the Fourth Proportional to 30,891.86, 46,301.94 and 14,216.88

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Solution

The fourth proportional to 30,891.86, 46,301.94 and 14,216.88 is: 21,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,891.86 : 46,301.94 = 14,216.88 : x
  2. Step 2: Convert to fraction form
    30,891.86/46,301.94 = 14,216.88/x
  3. Step 3: Cross multiply
    30,891.86x = 46,301.94 × 14,216.88
  4. Step 4: Simplify right side
    30,891.86x = 658,269,124.75
  5. Step 5: Solve for x
    x = 658,269,124.75/30,891.86
  6. Step 6: Final answer
    x = 21,308.82

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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.