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Finding the Fourth Proportional to 30,805.66, 42,508.62 and 22,743.60

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Solution

The fourth proportional to 30,805.66, 42,508.62 and 22,743.60 is: 31,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.66 : 42,508.62 = 22,743.60 : x
  2. Step 2: Convert to fraction form
    30,805.66/42,508.62 = 22,743.60/x
  3. Step 3: Cross multiply
    30,805.66x = 42,508.62 × 22,743.60
  4. Step 4: Simplify right side
    30,805.66x = 966,799,049.83
  5. Step 5: Solve for x
    x = 966,799,049.83/30,805.66
  6. Step 6: Final answer
    x = 31,383.81

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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.