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Finding the Fourth Proportional to 30,991.92, 46,455.90 and 12,264.36

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Solution

The fourth proportional to 30,991.92, 46,455.90 and 12,264.36 is: 18,383.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.92 : 46,455.90 = 12,264.36 : x
  2. Step 2: Convert to fraction form
    30,991.92/46,455.90 = 12,264.36/x
  3. Step 3: Cross multiply
    30,991.92x = 46,455.90 × 12,264.36
  4. Step 4: Simplify right side
    30,991.92x = 569,751,881.72
  5. Step 5: Solve for x
    x = 569,751,881.72/30,991.92
  6. Step 6: Final answer
    x = 18,383.88

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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.