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Finding the Fourth Proportional to 30,474.63, 45,674.28 and 17,982

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Solution

The fourth proportional to 30,474.63, 45,674.28 and 17,982 is: 26,950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474.63 : 45,674.28 = 17,982 : x
  2. Step 2: Convert to fraction form
    30,474.63/45,674.28 = 17,982/x
  3. Step 3: Cross multiply
    30,474.63x = 45,674.28 × 17,982
  4. Step 4: Simplify right side
    30,474.63x = 821,314,902.96
  5. Step 5: Solve for x
    x = 821,314,902.96/30,474.63
  6. Step 6: Final answer
    x = 26,950.78

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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.