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Finding the Fourth Proportional to 30,835.80, 46,251.32 and 8,648

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Solution

The fourth proportional to 30,835.80, 46,251.32 and 8,648 is: 12,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.80 : 46,251.32 = 8,648 : x
  2. Step 2: Convert to fraction form
    30,835.80/46,251.32 = 8,648/x
  3. Step 3: Cross multiply
    30,835.80x = 46,251.32 × 8,648
  4. Step 4: Simplify right side
    30,835.80x = 399,981,415.36
  5. Step 5: Solve for x
    x = 399,981,415.36/30,835.80
  6. Step 6: Final answer
    x = 12,971.33

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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.