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Finding the Fourth Proportional to 30,969.81, 42,751.41 and 20,911.86

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Solution

The fourth proportional to 30,969.81, 42,751.41 and 20,911.86 is: 28,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.81 : 42,751.41 = 20,911.86 : x
  2. Step 2: Convert to fraction form
    30,969.81/42,751.41 = 20,911.86/x
  3. Step 3: Cross multiply
    30,969.81x = 42,751.41 × 20,911.86
  4. Step 4: Simplify right side
    30,969.81x = 894,011,500.72
  5. Step 5: Solve for x
    x = 894,011,500.72/30,969.81
  6. Step 6: Final answer
    x = 28,867.19

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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.