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Finding the Fourth Proportional to 30,447, 45,676.26 and 14,031

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Solution

The fourth proportional to 30,447, 45,676.26 and 14,031 is: 21,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447 : 45,676.26 = 14,031 : x
  2. Step 2: Convert to fraction form
    30,447/45,676.26 = 14,031/x
  3. Step 3: Cross multiply
    30,447x = 45,676.26 × 14,031
  4. Step 4: Simplify right side
    30,447x = 640,883,604.06
  5. Step 5: Solve for x
    x = 640,883,604.06/30,447
  6. Step 6: Final answer
    x = 21,049.15

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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.