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Finding the Fourth Proportional to 30,969.54, 42,733.98 and 18,229.86

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Solution

The fourth proportional to 30,969.54, 42,733.98 and 18,229.86 is: 25,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.54 : 42,733.98 = 18,229.86 : x
  2. Step 2: Convert to fraction form
    30,969.54/42,733.98 = 18,229.86/x
  3. Step 3: Cross multiply
    30,969.54x = 42,733.98 × 18,229.86
  4. Step 4: Simplify right side
    30,969.54x = 779,034,472.64
  5. Step 5: Solve for x
    x = 779,034,472.64/30,969.54
  6. Step 6: Final answer
    x = 25,154.86

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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.