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Finding the Fourth Proportional to 30,933, 42,698.16 and 20,854.98

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Solution

The fourth proportional to 30,933, 42,698.16 and 20,854.98 is: 28,787.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,933 : 42,698.16 = 20,854.98 : x
  2. Step 2: Convert to fraction form
    30,933/42,698.16 = 20,854.98/x
  3. Step 3: Cross multiply
    30,933x = 42,698.16 × 20,854.98
  4. Step 4: Simplify right side
    30,933x = 890,469,272.84
  5. Step 5: Solve for x
    x = 890,469,272.84/30,933
  6. Step 6: Final answer
    x = 28,787.03

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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.