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Finding the Fourth Proportional to 30,865.84, 46,296.36 and 8,678

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Solution

The fourth proportional to 30,865.84, 46,296.36 and 8,678 is: 13,016.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,865.84 : 46,296.36 = 8,678 : x
  2. Step 2: Convert to fraction form
    30,865.84/46,296.36 = 8,678/x
  3. Step 3: Cross multiply
    30,865.84x = 46,296.36 × 8,678
  4. Step 4: Simplify right side
    30,865.84x = 401,759,812.08
  5. Step 5: Solve for x
    x = 401,759,812.08/30,865.84
  6. Step 6: Final answer
    x = 13,016.33

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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.