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Finding the Fourth Proportional to 30,663.63, 46,013.16 and 12,892.87

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Solution

The fourth proportional to 30,663.63, 46,013.16 and 12,892.87 is: 19,346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,663.63 : 46,013.16 = 12,892.87 : x
  2. Step 2: Convert to fraction form
    30,663.63/46,013.16 = 12,892.87/x
  3. Step 3: Cross multiply
    30,663.63x = 46,013.16 × 12,892.87
  4. Step 4: Simplify right side
    30,663.63x = 593,241,796.03
  5. Step 5: Solve for x
    x = 593,241,796.03/30,663.63
  6. Step 6: Final answer
    x = 19,346.76

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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.