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Finding the Fourth Proportional to 30,678, 46,016.91 and 9,619.68

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Solution

The fourth proportional to 30,678, 46,016.91 and 9,619.68 is: 14,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678 : 46,016.91 = 9,619.68 : x
  2. Step 2: Convert to fraction form
    30,678/46,016.91 = 9,619.68/x
  3. Step 3: Cross multiply
    30,678x = 46,016.91 × 9,619.68
  4. Step 4: Simplify right side
    30,678x = 442,667,948.79
  5. Step 5: Solve for x
    x = 442,667,948.79/30,678
  6. Step 6: Final answer
    x = 14,429.49

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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.