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Finding the Fourth Proportional to 30,682.80, 42,331.14 and 20,071.80

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Solution

The fourth proportional to 30,682.80, 42,331.14 and 20,071.80 is: 27,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.80 : 42,331.14 = 20,071.80 : x
  2. Step 2: Convert to fraction form
    30,682.80/42,331.14 = 20,071.80/x
  3. Step 3: Cross multiply
    30,682.80x = 42,331.14 × 20,071.80
  4. Step 4: Simplify right side
    30,682.80x = 849,662,175.85
  5. Step 5: Solve for x
    x = 849,662,175.85/30,682.80
  6. Step 6: Final answer
    x = 27,691.81

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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.