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Finding the Fourth Proportional to 30,879.76, 46,315.53 and 8,694.86

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Solution

The fourth proportional to 30,879.76, 46,315.53 and 8,694.86 is: 13,041.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,879.76 : 46,315.53 = 8,694.86 : x
  2. Step 2: Convert to fraction form
    30,879.76/46,315.53 = 8,694.86/x
  3. Step 3: Cross multiply
    30,879.76x = 46,315.53 × 8,694.86
  4. Step 4: Simplify right side
    30,879.76x = 402,707,212.50
  5. Step 5: Solve for x
    x = 402,707,212.50/30,879.76
  6. Step 6: Final answer
    x = 13,041.14

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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.