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Finding the Fourth Proportional to 30,146.82, 41,581.80 and 20,698.98

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Solution

The fourth proportional to 30,146.82, 41,581.80 and 20,698.98 is: 28,550.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.82 : 41,581.80 = 20,698.98 : x
  2. Step 2: Convert to fraction form
    30,146.82/41,581.80 = 20,698.98/x
  3. Step 3: Cross multiply
    30,146.82x = 41,581.80 × 20,698.98
  4. Step 4: Simplify right side
    30,146.82x = 860,700,846.56
  5. Step 5: Solve for x
    x = 860,700,846.56/30,146.82
  6. Step 6: Final answer
    x = 28,550.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.