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Finding the Fourth Proportional to 30,947.21, 42,708.03 and 16,800.98

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Solution

The fourth proportional to 30,947.21, 42,708.03 and 16,800.98 is: 23,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,947.21 : 42,708.03 = 16,800.98 : x
  2. Step 2: Convert to fraction form
    30,947.21/42,708.03 = 16,800.98/x
  3. Step 3: Cross multiply
    30,947.21x = 42,708.03 × 16,800.98
  4. Step 4: Simplify right side
    30,947.21x = 717,536,757.87
  5. Step 5: Solve for x
    x = 717,536,757.87/30,947.21
  6. Step 6: Final answer
    x = 23,185.83

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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.