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Finding the Fourth Proportional to 30,684.48, 46,028.64 and 12,216

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Solution

The fourth proportional to 30,684.48, 46,028.64 and 12,216 is: 18,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,684.48 : 46,028.64 = 12,216 : x
  2. Step 2: Convert to fraction form
    30,684.48/46,028.64 = 12,216/x
  3. Step 3: Cross multiply
    30,684.48x = 46,028.64 × 12,216
  4. Step 4: Simplify right side
    30,684.48x = 562,285,866.24
  5. Step 5: Solve for x
    x = 562,285,866.24/30,684.48
  6. Step 6: Final answer
    x = 18,324.76

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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.