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Finding the Fourth Proportional to 30,961.46, 42,726.44 and 16,814.40

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Solution

The fourth proportional to 30,961.46, 42,726.44 and 16,814.40 is: 23,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,961.46 : 42,726.44 = 16,814.40 : x
  2. Step 2: Convert to fraction form
    30,961.46/42,726.44 = 16,814.40/x
  3. Step 3: Cross multiply
    30,961.46x = 42,726.44 × 16,814.40
  4. Step 4: Simplify right side
    30,961.46x = 718,419,452.74
  5. Step 5: Solve for x
    x = 718,419,452.74/30,961.46
  6. Step 6: Final answer
    x = 23,203.67

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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.