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Finding the Fourth Proportional to 30,041, 45,031.26 and 12,520.52

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Solution

The fourth proportional to 30,041, 45,031.26 and 12,520.52 is: 18,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,041 : 45,031.26 = 12,520.52 : x
  2. Step 2: Convert to fraction form
    30,041/45,031.26 = 12,520.52/x
  3. Step 3: Cross multiply
    30,041x = 45,031.26 × 12,520.52
  4. Step 4: Simplify right side
    30,041x = 563,814,791.46
  5. Step 5: Solve for x
    x = 563,814,791.46/30,041
  6. Step 6: Final answer
    x = 18,768.18

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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.