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Finding the Fourth Proportional to 30,446.98, 45,674.10 and 12,914.50

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Solution

The fourth proportional to 30,446.98, 45,674.10 and 12,914.50 is: 19,373.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,446.98 : 45,674.10 = 12,914.50 : x
  2. Step 2: Convert to fraction form
    30,446.98/45,674.10 = 12,914.50/x
  3. Step 3: Cross multiply
    30,446.98x = 45,674.10 × 12,914.50
  4. Step 4: Simplify right side
    30,446.98x = 589,858,164.45
  5. Step 5: Solve for x
    x = 589,858,164.45/30,446.98
  6. Step 6: Final answer
    x = 19,373.29

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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.