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Finding the Fourth Proportional to 30,043.84, 45,073.44 and 13,624

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Solution

The fourth proportional to 30,043.84, 45,073.44 and 13,624 is: 20,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,043.84 : 45,073.44 = 13,624 : x
  2. Step 2: Convert to fraction form
    30,043.84/45,073.44 = 13,624/x
  3. Step 3: Cross multiply
    30,043.84x = 45,073.44 × 13,624
  4. Step 4: Simplify right side
    30,043.84x = 614,080,546.56
  5. Step 5: Solve for x
    x = 614,080,546.56/30,043.84
  6. Step 6: Final answer
    x = 20,439.48

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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.